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Finding the Fourth Proportional to 387,166.50, 580,771.62 and 137,848.50

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Solution

The fourth proportional to 387,166.50, 580,771.62 and 137,848.50 is: 206,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,166.50 : 580,771.62 = 137,848.50 : x
  2. Step 2: Convert to fraction form
    387,166.50/580,771.62 = 137,848.50/x
  3. Step 3: Cross multiply
    387,166.50x = 580,771.62 × 137,848.50
  4. Step 4: Simplify right side
    387,166.50x = 80,058,496,659.57
  5. Step 5: Solve for x
    x = 80,058,496,659.57/387,166.50
  6. Step 6: Final answer
    x = 206,780.54

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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.