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Finding the Fourth Proportional to 310,471.81, 465,331.34 and 220,372.81

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Solution

The fourth proportional to 310,471.81, 465,331.34 and 220,372.81 is: 330,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,471.81 : 465,331.34 = 220,372.81 : x
  2. Step 2: Convert to fraction form
    310,471.81/465,331.34 = 220,372.81/x
  3. Step 3: Cross multiply
    310,471.81x = 465,331.34 × 220,372.81
  4. Step 4: Simplify right side
    310,471.81x = 102,546,373,875.00
  5. Step 5: Solve for x
    x = 102,546,373,875.00/310,471.81
  6. Step 6: Final answer
    x = 330,292.06

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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.