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Finding the Fourth Proportional to 409,204.98, 564,251.40 and 280,164.60

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Solution

The fourth proportional to 409,204.98, 564,251.40 and 280,164.60 is: 386,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,204.98 : 564,251.40 = 280,164.60 : x
  2. Step 2: Convert to fraction form
    409,204.98/564,251.40 = 280,164.60/x
  3. Step 3: Cross multiply
    409,204.98x = 564,251.40 × 280,164.60
  4. Step 4: Simplify right side
    409,204.98x = 158,083,267,780.44
  5. Step 5: Solve for x
    x = 158,083,267,780.44/409,204.98
  6. Step 6: Final answer
    x = 386,318.04

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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.