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Finding the Fourth Proportional to 387,310.36, 580,994.52 and 106,825

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Solution

The fourth proportional to 387,310.36, 580,994.52 and 106,825 is: 160,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,310.36 : 580,994.52 = 106,825 : x
  2. Step 2: Convert to fraction form
    387,310.36/580,994.52 = 106,825/x
  3. Step 3: Cross multiply
    387,310.36x = 580,994.52 × 106,825
  4. Step 4: Simplify right side
    387,310.36x = 62,064,739,599
  5. Step 5: Solve for x
    x = 62,064,739,599/387,310.36
  6. Step 6: Final answer
    x = 160,245.49

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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.