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Finding the Fourth Proportional to 255,281.74, 382,922.52 and 68,288.38

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Solution

The fourth proportional to 255,281.74, 382,922.52 and 68,288.38 is: 102,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,281.74 : 382,922.52 = 68,288.38 : x
  2. Step 2: Convert to fraction form
    255,281.74/382,922.52 = 68,288.38/x
  3. Step 3: Cross multiply
    255,281.74x = 382,922.52 × 68,288.38
  4. Step 4: Simplify right side
    255,281.74x = 26,149,158,556.32
  5. Step 5: Solve for x
    x = 26,149,158,556.32/255,281.74
  6. Step 6: Final answer
    x = 102,432.55

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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.