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Finding the Fourth Proportional to 498,233.30, 746,475.15 and 409,003.70

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Solution

The fourth proportional to 498,233.30, 746,475.15 and 409,003.70 is: 612,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,233.30 : 746,475.15 = 409,003.70 : x
  2. Step 2: Convert to fraction form
    498,233.30/746,475.15 = 409,003.70/x
  3. Step 3: Cross multiply
    498,233.30x = 746,475.15 × 409,003.70
  4. Step 4: Simplify right side
    498,233.30x = 305,311,098,308.06
  5. Step 5: Solve for x
    x = 305,311,098,308.06/498,233.30
  6. Step 6: Final answer
    x = 612,787.42

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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.