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Finding the Fourth Proportional to 281,697.75, 388,743.30 and 154,370.61

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Solution

The fourth proportional to 281,697.75, 388,743.30 and 154,370.61 is: 213,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,697.75 : 388,743.30 = 154,370.61 : x
  2. Step 2: Convert to fraction form
    281,697.75/388,743.30 = 154,370.61/x
  3. Step 3: Cross multiply
    281,697.75x = 388,743.30 × 154,370.61
  4. Step 4: Simplify right side
    281,697.75x = 60,010,540,354.41
  5. Step 5: Solve for x
    x = 60,010,540,354.41/281,697.75
  6. Step 6: Final answer
    x = 213,031.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.