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Finding the Fourth Proportional to 281,491.20, 421,878.40 and 115,091.20

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Solution

The fourth proportional to 281,491.20, 421,878.40 and 115,091.20 is: 172,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,491.20 : 421,878.40 = 115,091.20 : x
  2. Step 2: Convert to fraction form
    281,491.20/421,878.40 = 115,091.20/x
  3. Step 3: Cross multiply
    281,491.20x = 421,878.40 × 115,091.20
  4. Step 4: Simplify right side
    281,491.20x = 48,554,491,310.08
  5. Step 5: Solve for x
    x = 48,554,491,310.08/281,491.20
  6. Step 6: Final answer
    x = 172,490.26

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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.