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Finding the Fourth Proportional to 229,633.31, 316,904.78 and 127,660.47

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Solution

The fourth proportional to 229,633.31, 316,904.78 and 127,660.47 is: 176,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,633.31 : 316,904.78 = 127,660.47 : x
  2. Step 2: Convert to fraction form
    229,633.31/316,904.78 = 127,660.47/x
  3. Step 3: Cross multiply
    229,633.31x = 316,904.78 × 127,660.47
  4. Step 4: Simplify right side
    229,633.31x = 40,456,211,812.08
  5. Step 5: Solve for x
    x = 40,456,211,812.08/229,633.31
  6. Step 6: Final answer
    x = 176,177.46

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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.