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Finding the Fourth Proportional to 408,905.71, 564,283.83 and 227,617.38

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Solution

The fourth proportional to 408,905.71, 564,283.83 and 227,617.38 is: 314,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,905.71 : 564,283.83 = 227,617.38 : x
  2. Step 2: Convert to fraction form
    408,905.71/564,283.83 = 227,617.38/x
  3. Step 3: Cross multiply
    408,905.71x = 564,283.83 × 227,617.38
  4. Step 4: Simplify right side
    408,905.71x = 128,440,806,960.97
  5. Step 5: Solve for x
    x = 128,440,806,960.97/408,905.71
  6. Step 6: Final answer
    x = 314,108.62

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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.