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Finding the Fourth Proportional to 315,306.72, 434,906.64 and 187,884

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Solution

The fourth proportional to 315,306.72, 434,906.64 and 187,884 is: 259,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,306.72 : 434,906.64 = 187,884 : x
  2. Step 2: Convert to fraction form
    315,306.72/434,906.64 = 187,884/x
  3. Step 3: Cross multiply
    315,306.72x = 434,906.64 × 187,884
  4. Step 4: Simplify right side
    315,306.72x = 81,711,999,149.76
  5. Step 5: Solve for x
    x = 81,711,999,149.76/315,306.72
  6. Step 6: Final answer
    x = 259,150.83

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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.