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Finding the Fourth Proportional to 261,793.28, 392,326.57 and 119,290.29

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Solution

The fourth proportional to 261,793.28, 392,326.57 and 119,290.29 is: 178,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,793.28 : 392,326.57 = 119,290.29 : x
  2. Step 2: Convert to fraction form
    261,793.28/392,326.57 = 119,290.29/x
  3. Step 3: Cross multiply
    261,793.28x = 392,326.57 × 119,290.29
  4. Step 4: Simplify right side
    261,793.28x = 46,800,748,987.89
  5. Step 5: Solve for x
    x = 46,800,748,987.89/261,793.28
  6. Step 6: Final answer
    x = 178,769.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.