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Finding the Fourth Proportional to 238,215.75, 328,766.94 and 137,613.75

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Solution

The fourth proportional to 238,215.75, 328,766.94 and 137,613.75 is: 189,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,215.75 : 328,766.94 = 137,613.75 : x
  2. Step 2: Convert to fraction form
    238,215.75/328,766.94 = 137,613.75/x
  3. Step 3: Cross multiply
    238,215.75x = 328,766.94 × 137,613.75
  4. Step 4: Simplify right side
    238,215.75x = 45,242,851,489.43
  5. Step 5: Solve for x
    x = 45,242,851,489.43/238,215.75
  6. Step 6: Final answer
    x = 189,923.85

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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.