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Finding the Fourth Proportional to 281,816.88, 422,488.44 and 131,978.16

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Solution

The fourth proportional to 281,816.88, 422,488.44 and 131,978.16 is: 197,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,816.88 : 422,488.44 = 131,978.16 : x
  2. Step 2: Convert to fraction form
    281,816.88/422,488.44 = 131,978.16/x
  3. Step 3: Cross multiply
    281,816.88x = 422,488.44 × 131,978.16
  4. Step 4: Simplify right side
    281,816.88x = 55,759,246,932.47
  5. Step 5: Solve for x
    x = 55,759,246,932.47/281,816.88
  6. Step 6: Final answer
    x = 197,856.31

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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.