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Finding the Fourth Proportional to 381,381.92, 526,272.26 and 226,306.48

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Solution

The fourth proportional to 381,381.92, 526,272.26 and 226,306.48 is: 312,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,381.92 : 526,272.26 = 226,306.48 : x
  2. Step 2: Convert to fraction form
    381,381.92/526,272.26 = 226,306.48/x
  3. Step 3: Cross multiply
    381,381.92x = 526,272.26 × 226,306.48
  4. Step 4: Simplify right side
    381,381.92x = 119,098,821,221.79
  5. Step 5: Solve for x
    x = 119,098,821,221.79/381,381.92
  6. Step 6: Final answer
    x = 312,282.30

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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.