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Finding the Fourth Proportional to 424,128.92, 584,864 and 280,836.68

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Solution

The fourth proportional to 424,128.92, 584,864 and 280,836.68 is: 387,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,128.92 : 584,864 = 280,836.68 : x
  2. Step 2: Convert to fraction form
    424,128.92/584,864 = 280,836.68/x
  3. Step 3: Cross multiply
    424,128.92x = 584,864 × 280,836.68
  4. Step 4: Simplify right side
    424,128.92x = 164,251,264,011.52
  5. Step 5: Solve for x
    x = 164,251,264,011.52/424,128.92
  6. Step 6: Final answer
    x = 387,267.31

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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.