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Finding the Fourth Proportional to 408,867.81, 564,237.61 and 227,575.85

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Solution

The fourth proportional to 408,867.81, 564,237.61 and 227,575.85 is: 314,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,867.81 : 564,237.61 = 227,575.85 : x
  2. Step 2: Convert to fraction form
    408,867.81/564,237.61 = 227,575.85/x
  3. Step 3: Cross multiply
    408,867.81x = 564,237.61 × 227,575.85
  4. Step 4: Simplify right side
    408,867.81x = 128,406,853,481.43
  5. Step 5: Solve for x
    x = 128,406,853,481.43/408,867.81
  6. Step 6: Final answer
    x = 314,054.69

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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.