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Finding the Fourth Proportional to 281,758.73, 422,776.78 and 131,973.12

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Solution

The fourth proportional to 281,758.73, 422,776.78 and 131,973.12 is: 198,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,758.73 : 422,776.78 = 131,973.12 : x
  2. Step 2: Convert to fraction form
    281,758.73/422,776.78 = 131,973.12/x
  3. Step 3: Cross multiply
    281,758.73x = 422,776.78 × 131,973.12
  4. Step 4: Simplify right side
    281,758.73x = 55,795,170,390.22
  5. Step 5: Solve for x
    x = 55,795,170,390.22/281,758.73
  6. Step 6: Final answer
    x = 198,024.64

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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.