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Finding the Fourth Proportional to 278,201.77, 383,913.90 and 157,338.52

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Solution

The fourth proportional to 278,201.77, 383,913.90 and 157,338.52 is: 217,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,201.77 : 383,913.90 = 157,338.52 : x
  2. Step 2: Convert to fraction form
    278,201.77/383,913.90 = 157,338.52/x
  3. Step 3: Cross multiply
    278,201.77x = 383,913.90 × 157,338.52
  4. Step 4: Simplify right side
    278,201.77x = 60,404,444,833.43
  5. Step 5: Solve for x
    x = 60,404,444,833.43/278,201.77
  6. Step 6: Final answer
    x = 217,124.59

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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.