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Finding the Fourth Proportional to 281,574.93, 422,357.92 and 68,344.61

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Solution

The fourth proportional to 281,574.93, 422,357.92 and 68,344.61 is: 102,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,574.93 : 422,357.92 = 68,344.61 : x
  2. Step 2: Convert to fraction form
    281,574.93/422,357.92 = 68,344.61/x
  3. Step 3: Cross multiply
    281,574.93x = 422,357.92 × 68,344.61
  4. Step 4: Simplify right side
    281,574.93x = 28,865,887,322.81
  5. Step 5: Solve for x
    x = 28,865,887,322.81/281,574.93
  6. Step 6: Final answer
    x = 102,515.83

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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.