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Finding the Fourth Proportional to 391,110, 539,731.80 and 212,262

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Solution

The fourth proportional to 391,110, 539,731.80 and 212,262 is: 292,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,110 : 539,731.80 = 212,262 : x
  2. Step 2: Convert to fraction form
    391,110/539,731.80 = 212,262/x
  3. Step 3: Cross multiply
    391,110x = 539,731.80 × 212,262
  4. Step 4: Simplify right side
    391,110x = 114,564,551,331.60
  5. Step 5: Solve for x
    x = 114,564,551,331.60/391,110
  6. Step 6: Final answer
    x = 292,921.56

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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.