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Finding the Fourth Proportional to 458,691.40, 688,037.10 and 417,357.10

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Solution

The fourth proportional to 458,691.40, 688,037.10 and 417,357.10 is: 626,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,691.40 : 688,037.10 = 417,357.10 : x
  2. Step 2: Convert to fraction form
    458,691.40/688,037.10 = 417,357.10/x
  3. Step 3: Cross multiply
    458,691.40x = 688,037.10 × 417,357.10
  4. Step 4: Simplify right side
    458,691.40x = 287,157,168,748.41
  5. Step 5: Solve for x
    x = 287,157,168,748.41/458,691.40
  6. Step 6: Final answer
    x = 626,035.65

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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.