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Finding the Fourth Proportional to 498,511.80, 746,892.90 and 409,282.20

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Solution

The fourth proportional to 498,511.80, 746,892.90 and 409,282.20 is: 613,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,511.80 : 746,892.90 = 409,282.20 : x
  2. Step 2: Convert to fraction form
    498,511.80/746,892.90 = 409,282.20/x
  3. Step 3: Cross multiply
    498,511.80x = 746,892.90 × 409,282.20
  4. Step 4: Simplify right side
    498,511.80x = 305,689,969,276.38
  5. Step 5: Solve for x
    x = 305,689,969,276.38/498,511.80
  6. Step 6: Final answer
    x = 613,205.08

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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.