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Finding the Fourth Proportional to 408,990.92, 564,429.87 and 227,698.90

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Solution

The fourth proportional to 408,990.92, 564,429.87 and 227,698.90 is: 314,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,990.92 : 564,429.87 = 227,698.90 : x
  2. Step 2: Convert to fraction form
    408,990.92/564,429.87 = 227,698.90/x
  3. Step 3: Cross multiply
    408,990.92x = 564,429.87 × 227,698.90
  4. Step 4: Simplify right side
    408,990.92x = 128,520,059,115.07
  5. Step 5: Solve for x
    x = 128,520,059,115.07/408,990.92
  6. Step 6: Final answer
    x = 314,236.95

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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.