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Finding the Fourth Proportional to 381,526.92, 572,390.16 and 221,448.96

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Solution

The fourth proportional to 381,526.92, 572,390.16 and 221,448.96 is: 332,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,526.92 : 572,390.16 = 221,448.96 : x
  2. Step 2: Convert to fraction form
    381,526.92/572,390.16 = 221,448.96/x
  3. Step 3: Cross multiply
    381,526.92x = 572,390.16 × 221,448.96
  4. Step 4: Simplify right side
    381,526.92x = 126,755,205,646.23
  5. Step 5: Solve for x
    x = 126,755,205,646.23/381,526.92
  6. Step 6: Final answer
    x = 332,231.36

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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.