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Finding the Fourth Proportional to 826,331, 1,240,020.84 and 353,019.92

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Solution

The fourth proportional to 826,331, 1,240,020.84 and 353,019.92 is: 529,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,331 : 1,240,020.84 = 353,019.92 : x
  2. Step 2: Convert to fraction form
    826,331/1,240,020.84 = 353,019.92/x
  3. Step 3: Cross multiply
    826,331x = 1,240,020.84 × 353,019.92
  4. Step 4: Simplify right side
    826,331x = 437,752,057,735.13
  5. Step 5: Solve for x
    x = 437,752,057,735.13/826,331
  6. Step 6: Final answer
    x = 529,753.89

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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.