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Finding the Fourth Proportional to 278,998.92, 384,487.59 and 202,385.88

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Solution

The fourth proportional to 278,998.92, 384,487.59 and 202,385.88 is: 278,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,998.92 : 384,487.59 = 202,385.88 : x
  2. Step 2: Convert to fraction form
    278,998.92/384,487.59 = 202,385.88/x
  3. Step 3: Cross multiply
    278,998.92x = 384,487.59 × 202,385.88
  4. Step 4: Simplify right side
    278,998.92x = 77,814,859,251.23
  5. Step 5: Solve for x
    x = 77,814,859,251.23/278,998.92
  6. Step 6: Final answer
    x = 278,907.39

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1.5x scale

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.