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Finding the Fourth Proportional to 310,471.56, 465,330.96 and 220,372.56

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Solution

The fourth proportional to 310,471.56, 465,330.96 and 220,372.56 is: 330,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,471.56 : 465,330.96 = 220,372.56 : x
  2. Step 2: Convert to fraction form
    310,471.56/465,330.96 = 220,372.56/x
  3. Step 3: Cross multiply
    310,471.56x = 465,330.96 × 220,372.56
  4. Step 4: Simplify right side
    310,471.56x = 102,546,174,902.46
  5. Step 5: Solve for x
    x = 102,546,174,902.46/310,471.56
  6. Step 6: Final answer
    x = 330,291.69

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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.