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Finding the Fourth Proportional to 279,413.49, 419,182.73 and 101,920.51

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Solution

The fourth proportional to 279,413.49, 419,182.73 and 101,920.51 is: 152,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,413.49 : 419,182.73 = 101,920.51 : x
  2. Step 2: Convert to fraction form
    279,413.49/419,182.73 = 101,920.51/x
  3. Step 3: Cross multiply
    279,413.49x = 419,182.73 × 101,920.51
  4. Step 4: Simplify right side
    279,413.49x = 42,723,317,624.79
  5. Step 5: Solve for x
    x = 42,723,317,624.79/279,413.49
  6. Step 6: Final answer
    x = 152,903.56

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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.