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Finding the Fourth Proportional to 285,744.33, 428,201.78 and 160,818.57

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Solution

The fourth proportional to 285,744.33, 428,201.78 and 160,818.57 is: 240,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,744.33 : 428,201.78 = 160,818.57 : x
  2. Step 2: Convert to fraction form
    285,744.33/428,201.78 = 160,818.57/x
  3. Step 3: Cross multiply
    285,744.33x = 428,201.78 × 160,818.57
  4. Step 4: Simplify right side
    285,744.33x = 68,862,797,126.96
  5. Step 5: Solve for x
    x = 68,862,797,126.96/285,744.33
  6. Step 6: Final answer
    x = 240,994.45

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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.