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Finding the Fourth Proportional to 229,385, 316,554.96 and 128,780.84

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Solution

The fourth proportional to 229,385, 316,554.96 and 128,780.84 is: 177,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,385 : 316,554.96 = 128,780.84 : x
  2. Step 2: Convert to fraction form
    229,385/316,554.96 = 128,780.84/x
  3. Step 3: Cross multiply
    229,385x = 316,554.96 × 128,780.84
  4. Step 4: Simplify right side
    229,385x = 40,766,213,654.97
  5. Step 5: Solve for x
    x = 40,766,213,654.97/229,385
  6. Step 6: Final answer
    x = 177,719.61

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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.