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Finding the Fourth Proportional to 223,414.20, 308,318.40 and 127,915.20

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Solution

The fourth proportional to 223,414.20, 308,318.40 and 127,915.20 is: 176,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,414.20 : 308,318.40 = 127,915.20 : x
  2. Step 2: Convert to fraction form
    223,414.20/308,318.40 = 127,915.20/x
  3. Step 3: Cross multiply
    223,414.20x = 308,318.40 × 127,915.20
  4. Step 4: Simplify right side
    223,414.20x = 39,438,609,799.68
  5. Step 5: Solve for x
    x = 39,438,609,799.68/223,414.20
  6. Step 6: Final answer
    x = 176,526.87

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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.