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Finding the Fourth Proportional to 280,955.40, 421,380.78 and 81,226.38

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Solution

The fourth proportional to 280,955.40, 421,380.78 and 81,226.38 is: 121,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,955.40 : 421,380.78 = 81,226.38 : x
  2. Step 2: Convert to fraction form
    280,955.40/421,380.78 = 81,226.38/x
  3. Step 3: Cross multiply
    280,955.40x = 421,380.78 × 81,226.38
  4. Step 4: Simplify right side
    280,955.40x = 34,227,235,360.98
  5. Step 5: Solve for x
    x = 34,227,235,360.98/280,955.40
  6. Step 6: Final answer
    x = 121,824.44

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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.