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Finding the Fourth Proportional to 281,503.32, 422,255.76 and 141,229.12

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Solution

The fourth proportional to 281,503.32, 422,255.76 and 141,229.12 is: 211,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,503.32 : 422,255.76 = 141,229.12 : x
  2. Step 2: Convert to fraction form
    281,503.32/422,255.76 = 141,229.12/x
  3. Step 3: Cross multiply
    281,503.32x = 422,255.76 × 141,229.12
  4. Step 4: Simplify right side
    281,503.32x = 59,634,809,399.73
  5. Step 5: Solve for x
    x = 59,634,809,399.73/281,503.32
  6. Step 6: Final answer
    x = 211,844.07

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1.5x scale

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.