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Finding the Fourth Proportional to 408,978, 564,344.28 and 227,648.16

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Solution

The fourth proportional to 408,978, 564,344.28 and 227,648.16 is: 314,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,978 : 564,344.28 = 227,648.16 : x
  2. Step 2: Convert to fraction form
    408,978/564,344.28 = 227,648.16/x
  3. Step 3: Cross multiply
    408,978x = 564,344.28 × 227,648.16
  4. Step 4: Simplify right side
    408,978x = 128,471,936,948.53
  5. Step 5: Solve for x
    x = 128,471,936,948.53/408,978
  6. Step 6: Final answer
    x = 314,129.21

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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.