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Finding the Fourth Proportional to 288,134.06, 431,851.15 and 203,918.84

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Solution

The fourth proportional to 288,134.06, 431,851.15 and 203,918.84 is: 305,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,134.06 : 431,851.15 = 203,918.84 : x
  2. Step 2: Convert to fraction form
    288,134.06/431,851.15 = 203,918.84/x
  3. Step 3: Cross multiply
    288,134.06x = 431,851.15 × 203,918.84
  4. Step 4: Simplify right side
    288,134.06x = 88,062,582,381.82
  5. Step 5: Solve for x
    x = 88,062,582,381.82/288,134.06
  6. Step 6: Final answer
    x = 305,630.59

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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.