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Finding the Fourth Proportional to 428,791.62, 591,768.75 and 237,866.50

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Solution

The fourth proportional to 428,791.62, 591,768.75 and 237,866.50 is: 328,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,791.62 : 591,768.75 = 237,866.50 : x
  2. Step 2: Convert to fraction form
    428,791.62/591,768.75 = 237,866.50/x
  3. Step 3: Cross multiply
    428,791.62x = 591,768.75 × 237,866.50
  4. Step 4: Simplify right side
    428,791.62x = 140,761,961,371.88
  5. Step 5: Solve for x
    x = 140,761,961,371.88/428,791.62
  6. Step 6: Final answer
    x = 328,275.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.