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Finding the Fourth Proportional to 281,260.76, 421,844.10 and 123,446.84

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Solution

The fourth proportional to 281,260.76, 421,844.10 and 123,446.84 is: 185,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,260.76 : 421,844.10 = 123,446.84 : x
  2. Step 2: Convert to fraction form
    281,260.76/421,844.10 = 123,446.84/x
  3. Step 3: Cross multiply
    281,260.76x = 421,844.10 × 123,446.84
  4. Step 4: Simplify right side
    281,260.76x = 52,075,321,117.64
  5. Step 5: Solve for x
    x = 52,075,321,117.64/281,260.76
  6. Step 6: Final answer
    x = 185,149.61

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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.