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Finding the Fourth Proportional to 287,512.88, 431,469.40 and 119,034.08

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Solution

The fourth proportional to 287,512.88, 431,469.40 and 119,034.08 is: 178,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,512.88 : 431,469.40 = 119,034.08 : x
  2. Step 2: Convert to fraction form
    287,512.88/431,469.40 = 119,034.08/x
  3. Step 3: Cross multiply
    287,512.88x = 431,469.40 × 119,034.08
  4. Step 4: Simplify right side
    287,512.88x = 51,359,563,077.15
  5. Step 5: Solve for x
    x = 51,359,563,077.15/287,512.88
  6. Step 6: Final answer
    x = 178,633.96

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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.