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Finding the Fourth Proportional to 281,482.84, 422,150.34 and 81,749.56

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Solution

The fourth proportional to 281,482.84, 422,150.34 and 81,749.56 is: 122,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,482.84 : 422,150.34 = 81,749.56 : x
  2. Step 2: Convert to fraction form
    281,482.84/422,150.34 = 81,749.56/x
  3. Step 3: Cross multiply
    281,482.84x = 422,150.34 × 81,749.56
  4. Step 4: Simplify right side
    281,482.84x = 34,510,604,548.85
  5. Step 5: Solve for x
    x = 34,510,604,548.85/281,482.84
  6. Step 6: Final answer
    x = 122,602.87

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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.