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Finding the Fourth Proportional to 281,552.57, 421,347.09 and 230,359.96

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Solution

The fourth proportional to 281,552.57, 421,347.09 and 230,359.96 is: 344,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,552.57 : 421,347.09 = 230,359.96 : x
  2. Step 2: Convert to fraction form
    281,552.57/421,347.09 = 230,359.96/x
  3. Step 3: Cross multiply
    281,552.57x = 421,347.09 × 230,359.96
  4. Step 4: Simplify right side
    281,552.57x = 97,061,498,798.52
  5. Step 5: Solve for x
    x = 97,061,498,798.52/281,552.57
  6. Step 6: Final answer
    x = 344,736.68

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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.