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Finding the Fourth Proportional to 263,569.73, 363,711.81 and 154,659.47

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Solution

The fourth proportional to 263,569.73, 363,711.81 and 154,659.47 is: 213,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,569.73 : 363,711.81 = 154,659.47 : x
  2. Step 2: Convert to fraction form
    263,569.73/363,711.81 = 154,659.47/x
  3. Step 3: Cross multiply
    263,569.73x = 363,711.81 × 154,659.47
  4. Step 4: Simplify right side
    263,569.73x = 56,251,473,948.78
  5. Step 5: Solve for x
    x = 56,251,473,948.78/263,569.73
  6. Step 6: Final answer
    x = 213,421.61

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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.