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Finding the Fourth Proportional to 278,641.29, 384,642.71 and 188,119.88

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Solution

The fourth proportional to 278,641.29, 384,642.71 and 188,119.88 is: 259,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,641.29 : 384,642.71 = 188,119.88 : x
  2. Step 2: Convert to fraction form
    278,641.29/384,642.71 = 188,119.88/x
  3. Step 3: Cross multiply
    278,641.29x = 384,642.71 × 188,119.88
  4. Step 4: Simplify right side
    278,641.29x = 72,358,940,448.07
  5. Step 5: Solve for x
    x = 72,358,940,448.07/278,641.29
  6. Step 6: Final answer
    x = 259,684.92

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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.