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Finding the Fourth Proportional to 778,338, 1,167,516.72 and 279,702

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Solution

The fourth proportional to 778,338, 1,167,516.72 and 279,702 is: 419,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,338 : 1,167,516.72 = 279,702 : x
  2. Step 2: Convert to fraction form
    778,338/1,167,516.72 = 279,702/x
  3. Step 3: Cross multiply
    778,338x = 1,167,516.72 × 279,702
  4. Step 4: Simplify right side
    778,338x = 326,556,761,617.44
  5. Step 5: Solve for x
    x = 326,556,761,617.44/778,338
  6. Step 6: Final answer
    x = 419,556.49

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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.