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Finding the Fourth Proportional to 516,738.82, 775,058.10 and 156,912.78

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Solution

The fourth proportional to 516,738.82, 775,058.10 and 156,912.78 is: 235,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,738.82 : 775,058.10 = 156,912.78 : x
  2. Step 2: Convert to fraction form
    516,738.82/775,058.10 = 156,912.78/x
  3. Step 3: Cross multiply
    516,738.82x = 775,058.10 × 156,912.78
  4. Step 4: Simplify right side
    516,738.82x = 121,616,521,132.52
  5. Step 5: Solve for x
    x = 121,616,521,132.52/516,738.82
  6. Step 6: Final answer
    x = 235,353.95

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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.