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Finding the Fourth Proportional to 278,957.90, 418,413.06 and 110,432.42

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Solution

The fourth proportional to 278,957.90, 418,413.06 and 110,432.42 is: 165,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,957.90 : 418,413.06 = 110,432.42 : x
  2. Step 2: Convert to fraction form
    278,957.90/418,413.06 = 110,432.42/x
  3. Step 3: Cross multiply
    278,957.90x = 418,413.06 × 110,432.42
  4. Step 4: Simplify right side
    278,957.90x = 46,206,366,775.41
  5. Step 5: Solve for x
    x = 46,206,366,775.41/278,957.90
  6. Step 6: Final answer
    x = 165,639.21

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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.