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Finding the Fourth Proportional to 408,982.67, 564,381.32 and 227,689.94

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Solution

The fourth proportional to 408,982.67, 564,381.32 and 227,689.94 is: 314,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,982.67 : 564,381.32 = 227,689.94 : x
  2. Step 2: Convert to fraction form
    408,982.67/564,381.32 = 227,689.94/x
  3. Step 3: Cross multiply
    408,982.67x = 564,381.32 × 227,689.94
  4. Step 4: Simplify right side
    408,982.67x = 128,503,947,266.54
  5. Step 5: Solve for x
    x = 128,503,947,266.54/408,982.67
  6. Step 6: Final answer
    x = 314,203.89

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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.