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Finding the Fourth Proportional to 281,602.48, 422,405.40 and 71,240.32

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Solution

The fourth proportional to 281,602.48, 422,405.40 and 71,240.32 is: 106,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,602.48 : 422,405.40 = 71,240.32 : x
  2. Step 2: Convert to fraction form
    281,602.48/422,405.40 = 71,240.32/x
  3. Step 3: Cross multiply
    281,602.48x = 422,405.40 × 71,240.32
  4. Step 4: Simplify right side
    281,602.48x = 30,092,295,865.73
  5. Step 5: Solve for x
    x = 30,092,295,865.73/281,602.48
  6. Step 6: Final answer
    x = 106,860.91

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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.