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Finding the Fourth Proportional to 782,142, 1,079,355.96 and 424,446

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Solution

The fourth proportional to 782,142, 1,079,355.96 and 424,446 is: 585,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,142 : 1,079,355.96 = 424,446 : x
  2. Step 2: Convert to fraction form
    782,142/1,079,355.96 = 424,446/x
  3. Step 3: Cross multiply
    782,142x = 1,079,355.96 × 424,446
  4. Step 4: Simplify right side
    782,142x = 458,128,319,798.16
  5. Step 5: Solve for x
    x = 458,128,319,798.16/782,142
  6. Step 6: Final answer
    x = 585,735.48

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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.