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Finding the Fourth Proportional to 376,769.40, 564,279.30 and 257,796.60

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Solution

The fourth proportional to 376,769.40, 564,279.30 and 257,796.60 is: 386,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,769.40 : 564,279.30 = 257,796.60 : x
  2. Step 2: Convert to fraction form
    376,769.40/564,279.30 = 257,796.60/x
  3. Step 3: Cross multiply
    376,769.40x = 564,279.30 × 257,796.60
  4. Step 4: Simplify right side
    376,769.40x = 145,469,284,990.38
  5. Step 5: Solve for x
    x = 145,469,284,990.38/376,769.40
  6. Step 6: Final answer
    x = 386,096.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.