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Finding the Fourth Proportional to 307,402.92, 461,144.70 and 120,390.12

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Solution

The fourth proportional to 307,402.92, 461,144.70 and 120,390.12 is: 180,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,402.92 : 461,144.70 = 120,390.12 : x
  2. Step 2: Convert to fraction form
    307,402.92/461,144.70 = 120,390.12/x
  3. Step 3: Cross multiply
    307,402.92x = 461,144.70 × 120,390.12
  4. Step 4: Simplify right side
    307,402.92x = 55,517,265,770.36
  5. Step 5: Solve for x
    x = 55,517,265,770.36/307,402.92
  6. Step 6: Final answer
    x = 180,600.97

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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.