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Finding the Fourth Proportional to 409,079.85, 613,572.80 and 156,354.72

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Solution

The fourth proportional to 409,079.85, 613,572.80 and 156,354.72 is: 234,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,079.85 : 613,572.80 = 156,354.72 : x
  2. Step 2: Convert to fraction form
    409,079.85/613,572.80 = 156,354.72/x
  3. Step 3: Cross multiply
    409,079.85x = 613,572.80 × 156,354.72
  4. Step 4: Simplify right side
    409,079.85x = 95,935,002,561.84
  5. Step 5: Solve for x
    x = 95,935,002,561.84/409,079.85
  6. Step 6: Final answer
    x = 234,514.12

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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.