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Finding the Fourth Proportional to 222,413.84, 306,930.54 and 120,439.30

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Solution

The fourth proportional to 222,413.84, 306,930.54 and 120,439.30 is: 166,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,413.84 : 306,930.54 = 120,439.30 : x
  2. Step 2: Convert to fraction form
    222,413.84/306,930.54 = 120,439.30/x
  3. Step 3: Cross multiply
    222,413.84x = 306,930.54 × 120,439.30
  4. Step 4: Simplify right side
    222,413.84x = 36,966,497,851.57
  5. Step 5: Solve for x
    x = 36,966,497,851.57/222,413.84
  6. Step 6: Final answer
    x = 166,205.92

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1.5x scale

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.