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Finding the Fourth Proportional to 763,205.80, 1,144,808.70 and 431,429.80

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Solution

The fourth proportional to 763,205.80, 1,144,808.70 and 431,429.80 is: 647,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,205.80 : 1,144,808.70 = 431,429.80 : x
  2. Step 2: Convert to fraction form
    763,205.80/1,144,808.70 = 431,429.80/x
  3. Step 3: Cross multiply
    763,205.80x = 1,144,808.70 × 431,429.80
  4. Step 4: Simplify right side
    763,205.80x = 493,904,588,479.26
  5. Step 5: Solve for x
    x = 493,904,588,479.26/763,205.80
  6. Step 6: Final answer
    x = 647,144.70

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.