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Finding the Fourth Proportional to 278,968.54, 384,994.47 and 156,472.42

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Solution

The fourth proportional to 278,968.54, 384,994.47 and 156,472.42 is: 215,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,968.54 : 384,994.47 = 156,472.42 : x
  2. Step 2: Convert to fraction form
    278,968.54/384,994.47 = 156,472.42/x
  3. Step 3: Cross multiply
    278,968.54x = 384,994.47 × 156,472.42
  4. Step 4: Simplify right side
    278,968.54x = 60,241,016,407.52
  5. Step 5: Solve for x
    x = 60,241,016,407.52/278,968.54
  6. Step 6: Final answer
    x = 215,941.97

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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.