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Finding the Fourth Proportional to 381,974.24, 527,124.24 and 212,224.16

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Solution

The fourth proportional to 381,974.24, 527,124.24 and 212,224.16 is: 292,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,974.24 : 527,124.24 = 212,224.16 : x
  2. Step 2: Convert to fraction form
    381,974.24/527,124.24 = 212,224.16/x
  3. Step 3: Cross multiply
    381,974.24x = 527,124.24 × 212,224.16
  4. Step 4: Simplify right side
    381,974.24x = 111,868,499,049.64
  5. Step 5: Solve for x
    x = 111,868,499,049.64/381,974.24
  6. Step 6: Final answer
    x = 292,869.22

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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.