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Finding the Fourth Proportional to 498,413.70, 747,793.35 and 218,132.10

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Solution

The fourth proportional to 498,413.70, 747,793.35 and 218,132.10 is: 327,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,413.70 : 747,793.35 = 218,132.10 : x
  2. Step 2: Convert to fraction form
    498,413.70/747,793.35 = 218,132.10/x
  3. Step 3: Cross multiply
    498,413.70x = 747,793.35 × 218,132.10
  4. Step 4: Simplify right side
    498,413.70x = 163,117,733,801.54
  5. Step 5: Solve for x
    x = 163,117,733,801.54/498,413.70
  6. Step 6: Final answer
    x = 327,273.78

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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.