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Finding the Fourth Proportional to 526,456.48, 726,507.78 and 284,739.32

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Solution

The fourth proportional to 526,456.48, 726,507.78 and 284,739.32 is: 392,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,456.48 : 726,507.78 = 284,739.32 : x
  2. Step 2: Convert to fraction form
    526,456.48/726,507.78 = 284,739.32/x
  3. Step 3: Cross multiply
    526,456.48x = 726,507.78 × 284,739.32
  4. Step 4: Simplify right side
    526,456.48x = 206,865,331,251.91
  5. Step 5: Solve for x
    x = 206,865,331,251.91/526,456.48
  6. Step 6: Final answer
    x = 392,939.09

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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.