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Finding the Fourth Proportional to 306,998.18, 460,546.49 and 129,531.34

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Solution

The fourth proportional to 306,998.18, 460,546.49 and 129,531.34 is: 194,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,998.18 : 460,546.49 = 129,531.34 : x
  2. Step 2: Convert to fraction form
    306,998.18/460,546.49 = 129,531.34/x
  3. Step 3: Cross multiply
    306,998.18x = 460,546.49 × 129,531.34
  4. Step 4: Simplify right side
    306,998.18x = 59,655,203,982.00
  5. Step 5: Solve for x
    x = 59,655,203,982.00/306,998.18
  6. Step 6: Final answer
    x = 194,317.78

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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.