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Finding the Fourth Proportional to 263,409.39, 363,505.61 and 142,551.56

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Solution

The fourth proportional to 263,409.39, 363,505.61 and 142,551.56 is: 196,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,409.39 : 363,505.61 = 142,551.56 : x
  2. Step 2: Convert to fraction form
    263,409.39/363,505.61 = 142,551.56/x
  3. Step 3: Cross multiply
    263,409.39x = 363,505.61 × 142,551.56
  4. Step 4: Simplify right side
    263,409.39x = 51,818,291,774.25
  5. Step 5: Solve for x
    x = 51,818,291,774.25/263,409.39
  6. Step 6: Final answer
    x = 196,721.51

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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.