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Finding the Fourth Proportional to 278,998.31, 385,020.90 and 154,821.83

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Solution

The fourth proportional to 278,998.31, 385,020.90 and 154,821.83 is: 213,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,998.31 : 385,020.90 = 154,821.83 : x
  2. Step 2: Convert to fraction form
    278,998.31/385,020.90 = 154,821.83/x
  3. Step 3: Cross multiply
    278,998.31x = 385,020.90 × 154,821.83
  4. Step 4: Simplify right side
    278,998.31x = 59,609,641,288.80
  5. Step 5: Solve for x
    x = 59,609,641,288.80/278,998.31
  6. Step 6: Final answer
    x = 213,655.92

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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.