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Finding the Fourth Proportional to 279,963.40, 419,945.10 and 92,974.90

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Solution

The fourth proportional to 279,963.40, 419,945.10 and 92,974.90 is: 139,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,963.40 : 419,945.10 = 92,974.90 : x
  2. Step 2: Convert to fraction form
    279,963.40/419,945.10 = 92,974.90/x
  3. Step 3: Cross multiply
    279,963.40x = 419,945.10 × 92,974.90
  4. Step 4: Simplify right side
    279,963.40x = 39,044,353,677.99
  5. Step 5: Solve for x
    x = 39,044,353,677.99/279,963.40
  6. Step 6: Final answer
    x = 139,462.35

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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.