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Finding the Fourth Proportional to 229,420.30, 316,650.60 and 127,480.78

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Solution

The fourth proportional to 229,420.30, 316,650.60 and 127,480.78 is: 175,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,420.30 : 316,650.60 = 127,480.78 : x
  2. Step 2: Convert to fraction form
    229,420.30/316,650.60 = 127,480.78/x
  3. Step 3: Cross multiply
    229,420.30x = 316,650.60 × 127,480.78
  4. Step 4: Simplify right side
    229,420.30x = 40,366,865,475.47
  5. Step 5: Solve for x
    x = 40,366,865,475.47/229,420.30
  6. Step 6: Final answer
    x = 175,951.59

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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.