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Finding the Fourth Proportional to 288,070.20, 431,327.70 and 225,862.20

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Solution

The fourth proportional to 288,070.20, 431,327.70 and 225,862.20 is: 338,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,070.20 : 431,327.70 = 225,862.20 : x
  2. Step 2: Convert to fraction form
    288,070.20/431,327.70 = 225,862.20/x
  3. Step 3: Cross multiply
    288,070.20x = 431,327.70 × 225,862.20
  4. Step 4: Simplify right side
    288,070.20x = 97,420,623,242.94
  5. Step 5: Solve for x
    x = 97,420,623,242.94/288,070.20
  6. Step 6: Final answer
    x = 338,183.62

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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.