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Finding the Fourth Proportional to 257,759.87, 386,922.65 and 204,792.32

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Solution

The fourth proportional to 257,759.87, 386,922.65 and 204,792.32 is: 307,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,759.87 : 386,922.65 = 204,792.32 : x
  2. Step 2: Convert to fraction form
    257,759.87/386,922.65 = 204,792.32/x
  3. Step 3: Cross multiply
    257,759.87x = 386,922.65 × 204,792.32
  4. Step 4: Simplify right side
    257,759.87x = 79,238,787,097.39
  5. Step 5: Solve for x
    x = 79,238,787,097.39/257,759.87
  6. Step 6: Final answer
    x = 307,413.21

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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.