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Finding the Fourth Proportional to 378,413.16, 522,301.14 and 227,481

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Solution

The fourth proportional to 378,413.16, 522,301.14 and 227,481 is: 313,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,413.16 : 522,301.14 = 227,481 : x
  2. Step 2: Convert to fraction form
    378,413.16/522,301.14 = 227,481/x
  3. Step 3: Cross multiply
    378,413.16x = 522,301.14 × 227,481
  4. Step 4: Simplify right side
    378,413.16x = 118,813,585,628.34
  5. Step 5: Solve for x
    x = 118,813,585,628.34/378,413.16
  6. Step 6: Final answer
    x = 313,978.47

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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.