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Finding the Fourth Proportional to 408,764.88, 564,084 and 227,473.92

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Solution

The fourth proportional to 408,764.88, 564,084 and 227,473.92 is: 313,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,764.88 : 564,084 = 227,473.92 : x
  2. Step 2: Convert to fraction form
    408,764.88/564,084 = 227,473.92/x
  3. Step 3: Cross multiply
    408,764.88x = 564,084 × 227,473.92
  4. Step 4: Simplify right side
    408,764.88x = 128,314,398,689.28
  5. Step 5: Solve for x
    x = 128,314,398,689.28/408,764.88
  6. Step 6: Final answer
    x = 313,907.59

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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.