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Finding the Fourth Proportional to 281,920.80, 422,881.20 and 277,773.60

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Solution

The fourth proportional to 281,920.80, 422,881.20 and 277,773.60 is: 416,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,920.80 : 422,881.20 = 277,773.60 : x
  2. Step 2: Convert to fraction form
    281,920.80/422,881.20 = 277,773.60/x
  3. Step 3: Cross multiply
    281,920.80x = 422,881.20 × 277,773.60
  4. Step 4: Simplify right side
    281,920.80x = 117,465,233,296.32
  5. Step 5: Solve for x
    x = 117,465,233,296.32/281,920.80
  6. Step 6: Final answer
    x = 416,660.40

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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.