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Finding the Fourth Proportional to 409,718.62, 614,650.61 and 125,402.88

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Solution

The fourth proportional to 409,718.62, 614,650.61 and 125,402.88 is: 188,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,718.62 : 614,650.61 = 125,402.88 : x
  2. Step 2: Convert to fraction form
    409,718.62/614,650.61 = 125,402.88/x
  3. Step 3: Cross multiply
    409,718.62x = 614,650.61 × 125,402.88
  4. Step 4: Simplify right side
    409,718.62x = 77,078,959,306.20
  5. Step 5: Solve for x
    x = 77,078,959,306.20/409,718.62
  6. Step 6: Final answer
    x = 188,126.57

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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.