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Finding the Fourth Proportional to 288,687.55, 433,523.40 and 205,034.80

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Solution

The fourth proportional to 288,687.55, 433,523.40 and 205,034.80 is: 307,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,687.55 : 433,523.40 = 205,034.80 : x
  2. Step 2: Convert to fraction form
    288,687.55/433,523.40 = 205,034.80/x
  3. Step 3: Cross multiply
    288,687.55x = 433,523.40 × 205,034.80
  4. Step 4: Simplify right side
    288,687.55x = 88,887,383,614.32
  5. Step 5: Solve for x
    x = 88,887,383,614.32/288,687.55
  6. Step 6: Final answer
    x = 307,901.69

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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.