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Finding the Fourth Proportional to 274,456.72, 411,931.10 and 229,757.86

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Solution

The fourth proportional to 274,456.72, 411,931.10 and 229,757.86 is: 344,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,456.72 : 411,931.10 = 229,757.86 : x
  2. Step 2: Convert to fraction form
    274,456.72/411,931.10 = 229,757.86/x
  3. Step 3: Cross multiply
    274,456.72x = 411,931.10 × 229,757.86
  4. Step 4: Simplify right side
    274,456.72x = 94,644,407,548.01
  5. Step 5: Solve for x
    x = 94,644,407,548.01/274,456.72
  6. Step 6: Final answer
    x = 344,842.74

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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.