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Finding the Fourth Proportional to 263,386, 363,472.68 and 144,154

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Solution

The fourth proportional to 263,386, 363,472.68 and 144,154 is: 198,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,386 : 363,472.68 = 144,154 : x
  2. Step 2: Convert to fraction form
    263,386/363,472.68 = 144,154/x
  3. Step 3: Cross multiply
    263,386x = 363,472.68 × 144,154
  4. Step 4: Simplify right side
    263,386x = 52,396,040,712.72
  5. Step 5: Solve for x
    x = 52,396,040,712.72/263,386
  6. Step 6: Final answer
    x = 198,932.52

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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.