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Finding the Fourth Proportional to 263,399.94, 363,494.47 and 142,543.73

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Solution

The fourth proportional to 263,399.94, 363,494.47 and 142,543.73 is: 196,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,399.94 : 363,494.47 = 142,543.73 : x
  2. Step 2: Convert to fraction form
    263,399.94/363,494.47 = 142,543.73/x
  3. Step 3: Cross multiply
    263,399.94x = 363,494.47 × 142,543.73
  4. Step 4: Simplify right side
    263,399.94x = 51,813,857,588.17
  5. Step 5: Solve for x
    x = 51,813,857,588.17/263,399.94
  6. Step 6: Final answer
    x = 196,711.73

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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.