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Finding the Fourth Proportional to 288,231.90, 431,181.45 and 253,239.90

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Solution

The fourth proportional to 288,231.90, 431,181.45 and 253,239.90 is: 378,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,231.90 : 431,181.45 = 253,239.90 : x
  2. Step 2: Convert to fraction form
    288,231.90/431,181.45 = 253,239.90/x
  3. Step 3: Cross multiply
    288,231.90x = 431,181.45 × 253,239.90
  4. Step 4: Simplify right side
    288,231.90x = 109,192,347,279.86
  5. Step 5: Solve for x
    x = 109,192,347,279.86/288,231.90
  6. Step 6: Final answer
    x = 378,835.05

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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.