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Finding the Fourth Proportional to 280,711.95, 421,188.57 and 91,230.39

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Solution

The fourth proportional to 280,711.95, 421,188.57 and 91,230.39 is: 136,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,711.95 : 421,188.57 = 91,230.39 : x
  2. Step 2: Convert to fraction form
    280,711.95/421,188.57 = 91,230.39/x
  3. Step 3: Cross multiply
    280,711.95x = 421,188.57 × 91,230.39
  4. Step 4: Simplify right side
    280,711.95x = 38,425,197,504.64
  5. Step 5: Solve for x
    x = 38,425,197,504.64/280,711.95
  6. Step 6: Final answer
    x = 136,884.79

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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.