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Finding the Fourth Proportional to 278,039.66, 383,684.45 and 150,712.52

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Solution

The fourth proportional to 278,039.66, 383,684.45 and 150,712.52 is: 207,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,039.66 : 383,684.45 = 150,712.52 : x
  2. Step 2: Convert to fraction form
    278,039.66/383,684.45 = 150,712.52/x
  3. Step 3: Cross multiply
    278,039.66x = 383,684.45 × 150,712.52
  4. Step 4: Simplify right side
    278,039.66x = 57,826,047,672.33
  5. Step 5: Solve for x
    x = 57,826,047,672.33/278,039.66
  6. Step 6: Final answer
    x = 207,977.70

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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.