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Finding the Fourth Proportional to 229,326.28, 316,620.15 and 148,982.78

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Solution

The fourth proportional to 229,326.28, 316,620.15 and 148,982.78 is: 205,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,326.28 : 316,620.15 = 148,982.78 : x
  2. Step 2: Convert to fraction form
    229,326.28/316,620.15 = 148,982.78/x
  3. Step 3: Cross multiply
    229,326.28x = 316,620.15 × 148,982.78
  4. Step 4: Simplify right side
    229,326.28x = 47,170,950,151.02
  5. Step 5: Solve for x
    x = 47,170,950,151.02/229,326.28
  6. Step 6: Final answer
    x = 205,693.61

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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.