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Finding the Fourth Proportional to 460,883.06, 691,324.62 and 145,364.57

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Solution

The fourth proportional to 460,883.06, 691,324.62 and 145,364.57 is: 218,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,883.06 : 691,324.62 = 145,364.57 : x
  2. Step 2: Convert to fraction form
    460,883.06/691,324.62 = 145,364.57/x
  3. Step 3: Cross multiply
    460,883.06x = 691,324.62 × 145,364.57
  4. Step 4: Simplify right side
    460,883.06x = 100,494,109,413.82
  5. Step 5: Solve for x
    x = 100,494,109,413.82/460,883.06
  6. Step 6: Final answer
    x = 218,046.87

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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.