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Finding the Fourth Proportional to 288,157.52, 397,641.19 and 160,841.31

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Solution

The fourth proportional to 288,157.52, 397,641.19 and 160,841.31 is: 221,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,157.52 : 397,641.19 = 160,841.31 : x
  2. Step 2: Convert to fraction form
    288,157.52/397,641.19 = 160,841.31/x
  3. Step 3: Cross multiply
    288,157.52x = 397,641.19 × 160,841.31
  4. Step 4: Simplify right side
    288,157.52x = 63,957,129,909.56
  5. Step 5: Solve for x
    x = 63,957,129,909.56/288,157.52
  6. Step 6: Final answer
    x = 221,951.97

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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.