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Finding the Fourth Proportional to 526,308.27, 726,304.89 and 284,590.29

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Solution

The fourth proportional to 526,308.27, 726,304.89 and 284,590.29 is: 392,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,308.27 : 726,304.89 = 284,590.29 : x
  2. Step 2: Convert to fraction form
    526,308.27/726,304.89 = 284,590.29/x
  3. Step 3: Cross multiply
    526,308.27x = 726,304.89 × 284,590.29
  4. Step 4: Simplify right side
    526,308.27x = 206,699,319,273.52
  5. Step 5: Solve for x
    x = 206,699,319,273.52/526,308.27
  6. Step 6: Final answer
    x = 392,734.32

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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.