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Finding the Fourth Proportional to 460,728, 691,092 and 128,304

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Solution

The fourth proportional to 460,728, 691,092 and 128,304 is: 192,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,728 : 691,092 = 128,304 : x
  2. Step 2: Convert to fraction form
    460,728/691,092 = 128,304/x
  3. Step 3: Cross multiply
    460,728x = 691,092 × 128,304
  4. Step 4: Simplify right side
    460,728x = 88,669,867,968
  5. Step 5: Solve for x
    x = 88,669,867,968/460,728
  6. Step 6: Final answer
    x = 192,456

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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.