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Finding the Fourth Proportional to 391,110.50, 539,732.50 and 212,262.50

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Solution

The fourth proportional to 391,110.50, 539,732.50 and 212,262.50 is: 292,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,110.50 : 539,732.50 = 212,262.50 : x
  2. Step 2: Convert to fraction form
    391,110.50/539,732.50 = 212,262.50/x
  3. Step 3: Cross multiply
    391,110.50x = 539,732.50 × 212,262.50
  4. Step 4: Simplify right side
    391,110.50x = 114,564,969,781.25
  5. Step 5: Solve for x
    x = 114,564,969,781.25/391,110.50
  6. Step 6: Final answer
    x = 292,922.26

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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.