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Finding the Fourth Proportional to 397,081.32, 547,999.92 and 224,997.72

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Solution

The fourth proportional to 397,081.32, 547,999.92 and 224,997.72 is: 310,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,081.32 : 547,999.92 = 224,997.72 : x
  2. Step 2: Convert to fraction form
    397,081.32/547,999.92 = 224,997.72/x
  3. Step 3: Cross multiply
    397,081.32x = 547,999.92 × 224,997.72
  4. Step 4: Simplify right side
    397,081.32x = 123,298,732,560.18
  5. Step 5: Solve for x
    x = 123,298,732,560.18/397,081.32
  6. Step 6: Final answer
    x = 310,512.55

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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.