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Finding the Fourth Proportional to 408,872.83, 564,240.18 and 227,581.87

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Solution

The fourth proportional to 408,872.83, 564,240.18 and 227,581.87 is: 314,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,872.83 : 564,240.18 = 227,581.87 : x
  2. Step 2: Convert to fraction form
    408,872.83/564,240.18 = 227,581.87/x
  3. Step 3: Cross multiply
    408,872.83x = 564,240.18 × 227,581.87
  4. Step 4: Simplify right side
    408,872.83x = 128,410,835,293.54
  5. Step 5: Solve for x
    x = 128,410,835,293.54/408,872.83
  6. Step 6: Final answer
    x = 314,060.57

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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.