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Finding the Fourth Proportional to 278,649.96, 384,654.63 and 188,128.56

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Solution

The fourth proportional to 278,649.96, 384,654.63 and 188,128.56 is: 259,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,649.96 : 384,654.63 = 188,128.56 : x
  2. Step 2: Convert to fraction form
    278,649.96/384,654.63 = 188,128.56/x
  3. Step 3: Cross multiply
    278,649.96x = 384,654.63 × 188,128.56
  4. Step 4: Simplify right side
    278,649.96x = 72,364,521,639.23
  5. Step 5: Solve for x
    x = 72,364,521,639.23/278,649.96
  6. Step 6: Final answer
    x = 259,696.87

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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.