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Finding the Fourth Proportional to 390,229.26, 585,399.70 and 120,380.20

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Solution

The fourth proportional to 390,229.26, 585,399.70 and 120,380.20 is: 180,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,229.26 : 585,399.70 = 120,380.20 : x
  2. Step 2: Convert to fraction form
    390,229.26/585,399.70 = 120,380.20/x
  3. Step 3: Cross multiply
    390,229.26x = 585,399.70 × 120,380.20
  4. Step 4: Simplify right side
    390,229.26x = 70,470,532,965.94
  5. Step 5: Solve for x
    x = 70,470,532,965.94/390,229.26
  6. Step 6: Final answer
    x = 180,587.52

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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.