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Finding the Fourth Proportional to 288,517.60, 431,998.80 and 209,202.40

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Solution

The fourth proportional to 288,517.60, 431,998.80 and 209,202.40 is: 313,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,517.60 : 431,998.80 = 209,202.40 : x
  2. Step 2: Convert to fraction form
    288,517.60/431,998.80 = 209,202.40/x
  3. Step 3: Cross multiply
    288,517.60x = 431,998.80 × 209,202.40
  4. Step 4: Simplify right side
    288,517.60x = 90,375,185,757.12
  5. Step 5: Solve for x
    x = 90,375,185,757.12/288,517.60
  6. Step 6: Final answer
    x = 313,239.77

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1.5x scale

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.