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Finding the Fourth Proportional to 419,413.33, 578,769.76 and 238,101.46

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Solution

The fourth proportional to 419,413.33, 578,769.76 and 238,101.46 is: 328,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,413.33 : 578,769.76 = 238,101.46 : x
  2. Step 2: Convert to fraction form
    419,413.33/578,769.76 = 238,101.46/x
  3. Step 3: Cross multiply
    419,413.33x = 578,769.76 × 238,101.46
  4. Step 4: Simplify right side
    419,413.33x = 137,805,922,222.42
  5. Step 5: Solve for x
    x = 137,805,922,222.42/419,413.33
  6. Step 6: Final answer
    x = 328,568.30

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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.