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Finding the Fourth Proportional to 391,126, 539,753.96 and 212,278

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Solution

The fourth proportional to 391,126, 539,753.96 and 212,278 is: 292,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,126 : 539,753.96 = 212,278 : x
  2. Step 2: Convert to fraction form
    391,126/539,753.96 = 212,278/x
  3. Step 3: Cross multiply
    391,126x = 539,753.96 × 212,278
  4. Step 4: Simplify right side
    391,126x = 114,577,891,120.88
  5. Step 5: Solve for x
    x = 114,577,891,120.88/391,126
  6. Step 6: Final answer
    x = 292,943.68

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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.