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Finding the Fourth Proportional to 457,286.84, 685,965.73 and 137,413.72

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Solution

The fourth proportional to 457,286.84, 685,965.73 and 137,413.72 is: 206,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,286.84 : 685,965.73 = 137,413.72 : x
  2. Step 2: Convert to fraction form
    457,286.84/685,965.73 = 137,413.72/x
  3. Step 3: Cross multiply
    457,286.84x = 685,965.73 × 137,413.72
  4. Step 4: Simplify right side
    457,286.84x = 94,261,102,751.82
  5. Step 5: Solve for x
    x = 94,261,102,751.82/457,286.84
  6. Step 6: Final answer
    x = 206,131.24

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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.