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Finding the Fourth Proportional to 826,332, 1,240,022.34 and 353,020.92

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Solution

The fourth proportional to 826,332, 1,240,022.34 and 353,020.92 is: 529,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,332 : 1,240,022.34 = 353,020.92 : x
  2. Step 2: Convert to fraction form
    826,332/1,240,022.34 = 353,020.92/x
  3. Step 3: Cross multiply
    826,332x = 1,240,022.34 × 353,020.92
  4. Step 4: Simplify right side
    826,332x = 437,753,827,287.35
  5. Step 5: Solve for x
    x = 437,753,827,287.35/826,332
  6. Step 6: Final answer
    x = 529,755.39

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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.