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Finding the Fourth Proportional to 229,393, 316,562.34 and 128,791

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Solution

The fourth proportional to 229,393, 316,562.34 and 128,791 is: 177,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,393 : 316,562.34 = 128,791 : x
  2. Step 2: Convert to fraction form
    229,393/316,562.34 = 128,791/x
  3. Step 3: Cross multiply
    229,393x = 316,562.34 × 128,791
  4. Step 4: Simplify right side
    229,393x = 40,770,380,330.94
  5. Step 5: Solve for x
    x = 40,770,380,330.94/229,393
  6. Step 6: Final answer
    x = 177,731.58

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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.