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Finding the Fourth Proportional to 360,540.25, 497,612.10 and 231,639.86

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Solution

The fourth proportional to 360,540.25, 497,612.10 and 231,639.86 is: 319,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,540.25 : 497,612.10 = 231,639.86 : x
  2. Step 2: Convert to fraction form
    360,540.25/497,612.10 = 231,639.86/x
  3. Step 3: Cross multiply
    360,540.25x = 497,612.10 × 231,639.86
  4. Step 4: Simplify right side
    360,540.25x = 115,266,797,178.31
  5. Step 5: Solve for x
    x = 115,266,797,178.31/360,540.25
  6. Step 6: Final answer
    x = 319,705.77

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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.