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Finding the Fourth Proportional to 290,510.85, 435,791.37 and 80,148.78

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Solution

The fourth proportional to 290,510.85, 435,791.37 and 80,148.78 is: 120,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,510.85 : 435,791.37 = 80,148.78 : x
  2. Step 2: Convert to fraction form
    290,510.85/435,791.37 = 80,148.78/x
  3. Step 3: Cross multiply
    290,510.85x = 435,791.37 × 80,148.78
  4. Step 4: Simplify right side
    290,510.85x = 34,928,146,640.03
  5. Step 5: Solve for x
    x = 34,928,146,640.03/290,510.85
  6. Step 6: Final answer
    x = 120,230.09

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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.