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Finding the Fourth Proportional to 647,470.10, 971,205.15 and 497,998.10

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Solution

The fourth proportional to 647,470.10, 971,205.15 and 497,998.10 is: 746,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,470.10 : 971,205.15 = 497,998.10 : x
  2. Step 2: Convert to fraction form
    647,470.10/971,205.15 = 497,998.10/x
  3. Step 3: Cross multiply
    647,470.10x = 971,205.15 × 497,998.10
  4. Step 4: Simplify right side
    647,470.10x = 483,658,319,410.22
  5. Step 5: Solve for x
    x = 483,658,319,410.22/647,470.10
  6. Step 6: Final answer
    x = 746,997.15

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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.