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Finding the Fourth Proportional to 409,531.52, 614,043.84 and 159,920

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Solution

The fourth proportional to 409,531.52, 614,043.84 and 159,920 is: 239,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,531.52 : 614,043.84 = 159,920 : x
  2. Step 2: Convert to fraction form
    409,531.52/614,043.84 = 159,920/x
  3. Step 3: Cross multiply
    409,531.52x = 614,043.84 × 159,920
  4. Step 4: Simplify right side
    409,531.52x = 98,197,890,892.80
  5. Step 5: Solve for x
    x = 98,197,890,892.80/409,531.52
  6. Step 6: Final answer
    x = 239,781.03

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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.