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Finding the Fourth Proportional to 288,078.20, 431,339.70 and 225,870.20

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Solution

The fourth proportional to 288,078.20, 431,339.70 and 225,870.20 is: 338,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,078.20 : 431,339.70 = 225,870.20 : x
  2. Step 2: Convert to fraction form
    288,078.20/431,339.70 = 225,870.20/x
  3. Step 3: Cross multiply
    288,078.20x = 431,339.70 × 225,870.20
  4. Step 4: Simplify right side
    288,078.20x = 97,426,784,306.94
  5. Step 5: Solve for x
    x = 97,426,784,306.94/288,078.20
  6. Step 6: Final answer
    x = 338,195.62

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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.