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Finding the Fourth Proportional to 342,399.34, 472,662.43 and 204,626.87

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Solution

The fourth proportional to 342,399.34, 472,662.43 and 204,626.87 is: 282,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,399.34 : 472,662.43 = 204,626.87 : x
  2. Step 2: Convert to fraction form
    342,399.34/472,662.43 = 204,626.87/x
  3. Step 3: Cross multiply
    342,399.34x = 472,662.43 × 204,626.87
  4. Step 4: Simplify right side
    342,399.34x = 96,719,433,617.49
  5. Step 5: Solve for x
    x = 96,719,433,617.49/342,399.34
  6. Step 6: Final answer
    x = 282,475.53

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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.