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Finding the Fourth Proportional to 497,672.20, 746,508.30 and 409,025.80

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Solution

The fourth proportional to 497,672.20, 746,508.30 and 409,025.80 is: 613,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,672.20 : 746,508.30 = 409,025.80 : x
  2. Step 2: Convert to fraction form
    497,672.20/746,508.30 = 409,025.80/x
  3. Step 3: Cross multiply
    497,672.20x = 746,508.30 × 409,025.80
  4. Step 4: Simplify right side
    497,672.20x = 305,341,154,614.14
  5. Step 5: Solve for x
    x = 305,341,154,614.14/497,672.20
  6. Step 6: Final answer
    x = 613,538.70

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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.