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Finding the Fourth Proportional to 460,521.72, 690,982.92 and 161,217

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Solution

The fourth proportional to 460,521.72, 690,982.92 and 161,217 is: 241,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,521.72 : 690,982.92 = 161,217 : x
  2. Step 2: Convert to fraction form
    460,521.72/690,982.92 = 161,217/x
  3. Step 3: Cross multiply
    460,521.72x = 690,982.92 × 161,217
  4. Step 4: Simplify right side
    460,521.72x = 111,398,193,413.64
  5. Step 5: Solve for x
    x = 111,398,193,413.64/460,521.72
  6. Step 6: Final answer
    x = 241,895.63

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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.