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Finding the Fourth Proportional to 288,044.20, 431,288.70 and 225,836.20

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Solution

The fourth proportional to 288,044.20, 431,288.70 and 225,836.20 is: 338,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,044.20 : 431,288.70 = 225,836.20 : x
  2. Step 2: Convert to fraction form
    288,044.20/431,288.70 = 225,836.20/x
  3. Step 3: Cross multiply
    288,044.20x = 431,288.70 × 225,836.20
  4. Step 4: Simplify right side
    288,044.20x = 97,400,601,110.94
  5. Step 5: Solve for x
    x = 97,400,601,110.94/288,044.20
  6. Step 6: Final answer
    x = 338,144.64

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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.