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Finding the Fourth Proportional to 278,643.57, 384,645.81 and 188,122.11

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Solution

The fourth proportional to 278,643.57, 384,645.81 and 188,122.11 is: 259,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,643.57 : 384,645.81 = 188,122.11 : x
  2. Step 2: Convert to fraction form
    278,643.57/384,645.81 = 188,122.11/x
  3. Step 3: Cross multiply
    278,643.57x = 384,645.81 × 188,122.11
  4. Step 4: Simplify right side
    278,643.57x = 72,360,381,379.86
  5. Step 5: Solve for x
    x = 72,360,381,379.86/278,643.57
  6. Step 6: Final answer
    x = 259,687.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.