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Finding the Fourth Proportional to 306,761.90, 459,921.40 and 129,172.01

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Solution

The fourth proportional to 306,761.90, 459,921.40 and 129,172.01 is: 193,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,761.90 : 459,921.40 = 129,172.01 : x
  2. Step 2: Convert to fraction form
    306,761.90/459,921.40 = 129,172.01/x
  3. Step 3: Cross multiply
    306,761.90x = 459,921.40 × 129,172.01
  4. Step 4: Simplify right side
    306,761.90x = 59,408,969,057.48
  5. Step 5: Solve for x
    x = 59,408,969,057.48/306,761.90
  6. Step 6: Final answer
    x = 193,664.76

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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.