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Finding the Fourth Proportional to 281,987.80, 422,883.32 and 113,464.46

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Solution

The fourth proportional to 281,987.80, 422,883.32 and 113,464.46 is: 170,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,987.80 : 422,883.32 = 113,464.46 : x
  2. Step 2: Convert to fraction form
    281,987.80/422,883.32 = 113,464.46/x
  3. Step 3: Cross multiply
    281,987.80x = 422,883.32 × 113,464.46
  4. Step 4: Simplify right side
    281,987.80x = 47,982,228,036.69
  5. Step 5: Solve for x
    x = 47,982,228,036.69/281,987.80
  6. Step 6: Final answer
    x = 170,157.11

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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.