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Finding the Fourth Proportional to 307,586.42, 424,679.13 and 198,954.08

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Solution

The fourth proportional to 307,586.42, 424,679.13 and 198,954.08 is: 274,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,586.42 : 424,679.13 = 198,954.08 : x
  2. Step 2: Convert to fraction form
    307,586.42/424,679.13 = 198,954.08/x
  3. Step 3: Cross multiply
    307,586.42x = 424,679.13 × 198,954.08
  4. Step 4: Simplify right side
    307,586.42x = 84,491,643,480.95
  5. Step 5: Solve for x
    x = 84,491,643,480.95/307,586.42
  6. Step 6: Final answer
    x = 274,692.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.