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Finding the Fourth Proportional to 408,998.92, 564,437.13 and 227,722.36

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Solution

The fourth proportional to 408,998.92, 564,437.13 and 227,722.36 is: 314,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,998.92 : 564,437.13 = 227,722.36 : x
  2. Step 2: Convert to fraction form
    408,998.92/564,437.13 = 227,722.36/x
  3. Step 3: Cross multiply
    408,998.92x = 564,437.13 × 227,722.36
  4. Step 4: Simplify right side
    408,998.92x = 128,534,957,617.38
  5. Step 5: Solve for x
    x = 128,534,957,617.38/408,998.92
  6. Step 6: Final answer
    x = 314,267.23

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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.