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Finding the Fourth Proportional to 220,812.80, 330,830.40 and 181,155.20

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Solution

The fourth proportional to 220,812.80, 330,830.40 and 181,155.20 is: 271,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,812.80 : 330,830.40 = 181,155.20 : x
  2. Step 2: Convert to fraction form
    220,812.80/330,830.40 = 181,155.20/x
  3. Step 3: Cross multiply
    220,812.80x = 330,830.40 × 181,155.20
  4. Step 4: Simplify right side
    220,812.80x = 59,931,647,278.08
  5. Step 5: Solve for x
    x = 59,931,647,278.08/220,812.80
  6. Step 6: Final answer
    x = 271,413.83

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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.