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Finding the Fourth Proportional to 521,147.86, 781,836.54 and 296,613.97

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Solution

The fourth proportional to 521,147.86, 781,836.54 and 296,613.97 is: 444,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,147.86 : 781,836.54 = 296,613.97 : x
  2. Step 2: Convert to fraction form
    521,147.86/781,836.54 = 296,613.97/x
  3. Step 3: Cross multiply
    521,147.86x = 781,836.54 × 296,613.97
  4. Step 4: Simplify right side
    521,147.86x = 231,903,640,020.46
  5. Step 5: Solve for x
    x = 231,903,640,020.46/521,147.86
  6. Step 6: Final answer
    x = 444,986.27

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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.