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Finding the Fourth Proportional to 526,478.38, 726,537.80 and 284,760.38

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Solution

The fourth proportional to 526,478.38, 726,537.80 and 284,760.38 is: 392,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,478.38 : 726,537.80 = 284,760.38 : x
  2. Step 2: Convert to fraction form
    526,478.38/726,537.80 = 284,760.38/x
  3. Step 3: Cross multiply
    526,478.38x = 726,537.80 × 284,760.38
  4. Step 4: Simplify right side
    526,478.38x = 206,889,182,540.61
  5. Step 5: Solve for x
    x = 206,889,182,540.61/526,478.38
  6. Step 6: Final answer
    x = 392,968.05

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1.5x scale

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.