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Finding the Fourth Proportional to 307,504.72, 424,138.44 and 199,876.24

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Solution

The fourth proportional to 307,504.72, 424,138.44 and 199,876.24 is: 275,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,504.72 : 424,138.44 = 199,876.24 : x
  2. Step 2: Convert to fraction form
    307,504.72/424,138.44 = 199,876.24/x
  3. Step 3: Cross multiply
    307,504.72x = 424,138.44 × 199,876.24
  4. Step 4: Simplify right side
    307,504.72x = 84,775,196,626.67
  5. Step 5: Solve for x
    x = 84,775,196,626.67/307,504.72
  6. Step 6: Final answer
    x = 275,687.46

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1.5x scale

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.