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Finding the Fourth Proportional to 278,641.96, 384,643.61 and 188,120.53

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Solution

The fourth proportional to 278,641.96, 384,643.61 and 188,120.53 is: 259,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,641.96 : 384,643.61 = 188,120.53 : x
  2. Step 2: Convert to fraction form
    278,641.96/384,643.61 = 188,120.53/x
  3. Step 3: Cross multiply
    278,641.96x = 384,643.61 × 188,120.53
  4. Step 4: Simplify right side
    278,641.96x = 72,359,358,833.71
  5. Step 5: Solve for x
    x = 72,359,358,833.71/278,641.96
  6. Step 6: Final answer
    x = 259,685.80

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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.