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Finding the Fourth Proportional to 871,179, 1,306,817.76 and 310,213.56

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Solution

The fourth proportional to 871,179, 1,306,817.76 and 310,213.56 is: 465,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,179 : 1,306,817.76 = 310,213.56 : x
  2. Step 2: Convert to fraction form
    871,179/1,306,817.76 = 310,213.56/x
  3. Step 3: Cross multiply
    871,179x = 1,306,817.76 × 310,213.56
  4. Step 4: Simplify right side
    871,179x = 405,392,589,600.83
  5. Step 5: Solve for x
    x = 405,392,589,600.83/871,179
  6. Step 6: Final answer
    x = 465,337.88

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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.