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Finding the Fourth Proportional to 342,791.80, 514,103.80 and 143,113.84

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Solution

The fourth proportional to 342,791.80, 514,103.80 and 143,113.84 is: 214,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,791.80 : 514,103.80 = 143,113.84 : x
  2. Step 2: Convert to fraction form
    342,791.80/514,103.80 = 143,113.84/x
  3. Step 3: Cross multiply
    342,791.80x = 514,103.80 × 143,113.84
  4. Step 4: Simplify right side
    342,791.80x = 73,575,368,976.59
  5. Step 5: Solve for x
    x = 73,575,368,976.59/342,791.80
  6. Step 6: Final answer
    x = 214,635.73

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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.