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Finding the Fourth Proportional to 342,054.80, 512,207.40 and 252,825.20

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Solution

The fourth proportional to 342,054.80, 512,207.40 and 252,825.20 is: 378,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,054.80 : 512,207.40 = 252,825.20 : x
  2. Step 2: Convert to fraction form
    342,054.80/512,207.40 = 252,825.20/x
  3. Step 3: Cross multiply
    342,054.80x = 512,207.40 × 252,825.20
  4. Step 4: Simplify right side
    342,054.80x = 129,498,938,346.48
  5. Step 5: Solve for x
    x = 129,498,938,346.48/342,054.80
  6. Step 6: Final answer
    x = 378,591.20

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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.