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Finding the Fourth Proportional to 408,783.59, 564,147.86 and 227,494.97

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Solution

The fourth proportional to 408,783.59, 564,147.86 and 227,494.97 is: 313,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,783.59 : 564,147.86 = 227,494.97 : x
  2. Step 2: Convert to fraction form
    408,783.59/564,147.86 = 227,494.97/x
  3. Step 3: Cross multiply
    408,783.59x = 564,147.86 × 227,494.97
  4. Step 4: Simplify right side
    408,783.59x = 128,340,800,486.26
  5. Step 5: Solve for x
    x = 128,340,800,486.26/408,783.59
  6. Step 6: Final answer
    x = 313,957.81

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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.