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Finding the Fourth Proportional to 278,757.92, 384,686.88 and 164,041.04

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Solution

The fourth proportional to 278,757.92, 384,686.88 and 164,041.04 is: 226,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,757.92 : 384,686.88 = 164,041.04 : x
  2. Step 2: Convert to fraction form
    278,757.92/384,686.88 = 164,041.04/x
  3. Step 3: Cross multiply
    278,757.92x = 384,686.88 × 164,041.04
  4. Step 4: Simplify right side
    278,757.92x = 63,104,435,869.56
  5. Step 5: Solve for x
    x = 63,104,435,869.56/278,757.92
  6. Step 6: Final answer
    x = 226,377.19

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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.