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Finding the Fourth Proportional to 409,286.47, 614,348.64 and 337,981.92

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Solution

The fourth proportional to 409,286.47, 614,348.64 and 337,981.92 is: 507,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,286.47 : 614,348.64 = 337,981.92 : x
  2. Step 2: Convert to fraction form
    409,286.47/614,348.64 = 337,981.92/x
  3. Step 3: Cross multiply
    409,286.47x = 614,348.64 × 337,981.92
  4. Step 4: Simplify right side
    409,286.47x = 207,638,732,896.59
  5. Step 5: Solve for x
    x = 207,638,732,896.59/409,286.47
  6. Step 6: Final answer
    x = 507,318.83

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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.