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Finding the Fourth Proportional to 280,716.39, 421,101.14 and 78,325.92

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Solution

The fourth proportional to 280,716.39, 421,101.14 and 78,325.92 is: 117,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,716.39 : 421,101.14 = 78,325.92 : x
  2. Step 2: Convert to fraction form
    280,716.39/421,101.14 = 78,325.92/x
  3. Step 3: Cross multiply
    280,716.39x = 421,101.14 × 78,325.92
  4. Step 4: Simplify right side
    280,716.39x = 32,983,133,811.92
  5. Step 5: Solve for x
    x = 32,983,133,811.92/280,716.39
  6. Step 6: Final answer
    x = 117,496.29

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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.