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Finding the Fourth Proportional to 408,970, 564,333.24 and 227,640.16

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Solution

The fourth proportional to 408,970, 564,333.24 and 227,640.16 is: 314,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,970 : 564,333.24 = 227,640.16 : x
  2. Step 2: Convert to fraction form
    408,970/564,333.24 = 227,640.16/x
  3. Step 3: Cross multiply
    408,970x = 564,333.24 × 227,640.16
  4. Step 4: Simplify right side
    408,970x = 128,464,909,046.92
  5. Step 5: Solve for x
    x = 128,464,909,046.92/408,970
  6. Step 6: Final answer
    x = 314,118.17

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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.