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Finding the Fourth Proportional to 408,911.64, 564,293.61 and 227,620.68

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Solution

The fourth proportional to 408,911.64, 564,293.61 and 227,620.68 is: 314,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,911.64 : 564,293.61 = 227,620.68 : x
  2. Step 2: Convert to fraction form
    408,911.64/564,293.61 = 227,620.68/x
  3. Step 3: Cross multiply
    408,911.64x = 564,293.61 × 227,620.68
  4. Step 4: Simplify right side
    408,911.64x = 128,444,895,227.86
  5. Step 5: Solve for x
    x = 128,444,895,227.86/408,911.64
  6. Step 6: Final answer
    x = 314,114.06

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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.