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Finding the Fourth Proportional to 278,641.14, 384,642.49 and 188,119.72

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Solution

The fourth proportional to 278,641.14, 384,642.49 and 188,119.72 is: 259,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,641.14 : 384,642.49 = 188,119.72 : x
  2. Step 2: Convert to fraction form
    278,641.14/384,642.49 = 188,119.72/x
  3. Step 3: Cross multiply
    278,641.14x = 384,642.49 × 188,119.72
  4. Step 4: Simplify right side
    278,641.14x = 72,358,837,882.13
  5. Step 5: Solve for x
    x = 72,358,837,882.13/278,641.14
  6. Step 6: Final answer
    x = 259,684.68

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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.