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Finding the Fourth Proportional to 526,136.16, 726,067.98 and 284,418

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Solution

The fourth proportional to 526,136.16, 726,067.98 and 284,418 is: 392,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,136.16 : 726,067.98 = 284,418 : x
  2. Step 2: Convert to fraction form
    526,136.16/726,067.98 = 284,418/x
  3. Step 3: Cross multiply
    526,136.16x = 726,067.98 × 284,418
  4. Step 4: Simplify right side
    526,136.16x = 206,506,802,735.64
  5. Step 5: Solve for x
    x = 206,506,802,735.64/526,136.16
  6. Step 6: Final answer
    x = 392,496.88

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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.