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Finding the Fourth Proportional to 498,414.10, 687,806.85 and 307,351.06

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Solution

The fourth proportional to 498,414.10, 687,806.85 and 307,351.06 is: 424,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,414.10 : 687,806.85 = 307,351.06 : x
  2. Step 2: Convert to fraction form
    498,414.10/687,806.85 = 307,351.06/x
  3. Step 3: Cross multiply
    498,414.10x = 687,806.85 × 307,351.06
  4. Step 4: Simplify right side
    498,414.10x = 211,398,164,422.76
  5. Step 5: Solve for x
    x = 211,398,164,422.76/498,414.10
  6. Step 6: Final answer
    x = 424,141.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.