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Finding the Fourth Proportional to 299,487.92, 413,290.17 and 163,521.43

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Solution

The fourth proportional to 299,487.92, 413,290.17 and 163,521.43 is: 225,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,487.92 : 413,290.17 = 163,521.43 : x
  2. Step 2: Convert to fraction form
    299,487.92/413,290.17 = 163,521.43/x
  3. Step 3: Cross multiply
    299,487.92x = 413,290.17 × 163,521.43
  4. Step 4: Simplify right side
    299,487.92x = 67,581,798,570.12
  5. Step 5: Solve for x
    x = 67,581,798,570.12/299,487.92
  6. Step 6: Final answer
    x = 225,657.85

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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.