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Finding the Fourth Proportional to 281,778.40, 422,683.80 and 82,129.60

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Solution

The fourth proportional to 281,778.40, 422,683.80 and 82,129.60 is: 123,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,778.40 : 422,683.80 = 82,129.60 : x
  2. Step 2: Convert to fraction form
    281,778.40/422,683.80 = 82,129.60/x
  3. Step 3: Cross multiply
    281,778.40x = 422,683.80 × 82,129.60
  4. Step 4: Simplify right side
    281,778.40x = 34,714,851,420.48
  5. Step 5: Solve for x
    x = 34,714,851,420.48/281,778.40
  6. Step 6: Final answer
    x = 123,199.12

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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.