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Finding the Fourth Proportional to 281,146.40, 421,865.40 and 123,390.80

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Solution

The fourth proportional to 281,146.40, 421,865.40 and 123,390.80 is: 185,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,146.40 : 421,865.40 = 123,390.80 : x
  2. Step 2: Convert to fraction form
    281,146.40/421,865.40 = 123,390.80/x
  3. Step 3: Cross multiply
    281,146.40x = 421,865.40 × 123,390.80
  4. Step 4: Simplify right side
    281,146.40x = 52,054,309,198.32
  5. Step 5: Solve for x
    x = 52,054,309,198.32/281,146.40
  6. Step 6: Final answer
    x = 185,150.19

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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.