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Finding the Fourth Proportional to 461,082, 691,623 and 128,658

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Solution

The fourth proportional to 461,082, 691,623 and 128,658 is: 192,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,082 : 691,623 = 128,658 : x
  2. Step 2: Convert to fraction form
    461,082/691,623 = 128,658/x
  3. Step 3: Cross multiply
    461,082x = 691,623 × 128,658
  4. Step 4: Simplify right side
    461,082x = 88,982,831,934
  5. Step 5: Solve for x
    x = 88,982,831,934/461,082
  6. Step 6: Final answer
    x = 192,987

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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.