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Finding the Fourth Proportional to 259,543.80, 389,046.90 and 140,964.60

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Solution

The fourth proportional to 259,543.80, 389,046.90 and 140,964.60 is: 211,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,543.80 : 389,046.90 = 140,964.60 : x
  2. Step 2: Convert to fraction form
    259,543.80/389,046.90 = 140,964.60/x
  3. Step 3: Cross multiply
    259,543.80x = 389,046.90 × 140,964.60
  4. Step 4: Simplify right side
    259,543.80x = 54,841,840,639.74
  5. Step 5: Solve for x
    x = 54,841,840,639.74/259,543.80
  6. Step 6: Final answer
    x = 211,300.91

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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.