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Finding the Fourth Proportional to 387,178.50, 580,789.62 and 137,860.50

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Solution

The fourth proportional to 387,178.50, 580,789.62 and 137,860.50 is: 206,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,178.50 : 580,789.62 = 137,860.50 : x
  2. Step 2: Convert to fraction form
    387,178.50/580,789.62 = 137,860.50/x
  3. Step 3: Cross multiply
    387,178.50x = 580,789.62 × 137,860.50
  4. Step 4: Simplify right side
    387,178.50x = 80,067,947,408.01
  5. Step 5: Solve for x
    x = 80,067,947,408.01/387,178.50
  6. Step 6: Final answer
    x = 206,798.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.