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Finding the Fourth Proportional to 408,974, 564,338.76 and 227,644.16

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Solution

The fourth proportional to 408,974, 564,338.76 and 227,644.16 is: 314,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,974 : 564,338.76 = 227,644.16 : x
  2. Step 2: Convert to fraction form
    408,974/564,338.76 = 227,644.16/x
  3. Step 3: Cross multiply
    408,974x = 564,338.76 × 227,644.16
  4. Step 4: Simplify right side
    408,974x = 128,468,422,975.64
  5. Step 5: Solve for x
    x = 128,468,422,975.64/408,974
  6. Step 6: Final answer
    x = 314,123.69

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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.