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Finding the Fourth Proportional to 257,015.57, 385,564.67 and 88,494.47

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Solution

The fourth proportional to 257,015.57, 385,564.67 and 88,494.47 is: 132,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,015.57 : 385,564.67 = 88,494.47 : x
  2. Step 2: Convert to fraction form
    257,015.57/385,564.67 = 88,494.47/x
  3. Step 3: Cross multiply
    257,015.57x = 385,564.67 × 88,494.47
  4. Step 4: Simplify right side
    257,015.57x = 34,120,338,752.08
  5. Step 5: Solve for x
    x = 34,120,338,752.08/257,015.57
  6. Step 6: Final answer
    x = 132,755.92

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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.