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Finding the Fourth Proportional to 370,561.78, 511,361.94 and 209,413.30

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Solution

The fourth proportional to 370,561.78, 511,361.94 and 209,413.30 is: 288,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,561.78 : 511,361.94 = 209,413.30 : x
  2. Step 2: Convert to fraction form
    370,561.78/511,361.94 = 209,413.30/x
  3. Step 3: Cross multiply
    370,561.78x = 511,361.94 × 209,413.30
  4. Step 4: Simplify right side
    370,561.78x = 107,085,991,349.80
  5. Step 5: Solve for x
    x = 107,085,991,349.80/370,561.78
  6. Step 6: Final answer
    x = 288,982.83

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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.