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Finding the Fourth Proportional to 276,413.16, 414,622.04 and 76,749.11

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Solution

The fourth proportional to 276,413.16, 414,622.04 and 76,749.11 is: 115,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,413.16 : 414,622.04 = 76,749.11 : x
  2. Step 2: Convert to fraction form
    276,413.16/414,622.04 = 76,749.11/x
  3. Step 3: Cross multiply
    276,413.16x = 414,622.04 × 76,749.11
  4. Step 4: Simplify right side
    276,413.16x = 31,821,872,556.38
  5. Step 5: Solve for x
    x = 31,821,872,556.38/276,413.16
  6. Step 6: Final answer
    x = 115,124.30

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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.