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Finding the Fourth Proportional to 285,993.68, 428,993.01 and 72,761.78

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Solution

The fourth proportional to 285,993.68, 428,993.01 and 72,761.78 is: 109,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,993.68 : 428,993.01 = 72,761.78 : x
  2. Step 2: Convert to fraction form
    285,993.68/428,993.01 = 72,761.78/x
  3. Step 3: Cross multiply
    285,993.68x = 428,993.01 × 72,761.78
  4. Step 4: Simplify right side
    285,993.68x = 31,214,292,870.19
  5. Step 5: Solve for x
    x = 31,214,292,870.19/285,993.68
  6. Step 6: Final answer
    x = 109,143.30

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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.