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Finding the Fourth Proportional to 281,460.80, 422,045.40 and 103,876.40

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Solution

The fourth proportional to 281,460.80, 422,045.40 and 103,876.40 is: 155,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,460.80 : 422,045.40 = 103,876.40 : x
  2. Step 2: Convert to fraction form
    281,460.80/422,045.40 = 103,876.40/x
  3. Step 3: Cross multiply
    281,460.80x = 422,045.40 × 103,876.40
  4. Step 4: Simplify right side
    281,460.80x = 43,840,556,788.56
  5. Step 5: Solve for x
    x = 43,840,556,788.56/281,460.80
  6. Step 6: Final answer
    x = 155,760.79

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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.