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Finding the Fourth Proportional to 288,094.20, 431,363.70 and 225,886.20

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Solution

The fourth proportional to 288,094.20, 431,363.70 and 225,886.20 is: 338,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,094.20 : 431,363.70 = 225,886.20 : x
  2. Step 2: Convert to fraction form
    288,094.20/431,363.70 = 225,886.20/x
  3. Step 3: Cross multiply
    288,094.20x = 431,363.70 × 225,886.20
  4. Step 4: Simplify right side
    288,094.20x = 97,439,107,010.94
  5. Step 5: Solve for x
    x = 97,439,107,010.94/288,094.20
  6. Step 6: Final answer
    x = 338,219.61

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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.