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Finding the Fourth Proportional to 278,553.96, 384,413.28 and 157,693.05

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Solution

The fourth proportional to 278,553.96, 384,413.28 and 157,693.05 is: 217,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,553.96 : 384,413.28 = 157,693.05 : x
  2. Step 2: Convert to fraction form
    278,553.96/384,413.28 = 157,693.05/x
  3. Step 3: Cross multiply
    278,553.96x = 384,413.28 × 157,693.05
  4. Step 4: Simplify right side
    278,553.96x = 60,619,302,583.70
  5. Step 5: Solve for x
    x = 60,619,302,583.70/278,553.96
  6. Step 6: Final answer
    x = 217,621.40

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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.