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Finding the Fourth Proportional to 642,496.30, 963,744.45 and 455,872.30

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Solution

The fourth proportional to 642,496.30, 963,744.45 and 455,872.30 is: 683,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,496.30 : 963,744.45 = 455,872.30 : x
  2. Step 2: Convert to fraction form
    642,496.30/963,744.45 = 455,872.30/x
  3. Step 3: Cross multiply
    642,496.30x = 963,744.45 × 455,872.30
  4. Step 4: Simplify right side
    642,496.30x = 439,344,399,033.74
  5. Step 5: Solve for x
    x = 439,344,399,033.74/642,496.30
  6. Step 6: Final answer
    x = 683,808.45

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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.