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Finding the Fourth Proportional to 278,645.42, 384,648.40 and 188,124

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Solution

The fourth proportional to 278,645.42, 384,648.40 and 188,124 is: 259,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,645.42 : 384,648.40 = 188,124 : x
  2. Step 2: Convert to fraction form
    278,645.42/384,648.40 = 188,124/x
  3. Step 3: Cross multiply
    278,645.42x = 384,648.40 × 188,124
  4. Step 4: Simplify right side
    278,645.42x = 72,361,595,601.60
  5. Step 5: Solve for x
    x = 72,361,595,601.60/278,645.42
  6. Step 6: Final answer
    x = 259,690.60

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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.