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Finding the Fourth Proportional to 342,720.24, 472,968.71 and 189,758.42

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Solution

The fourth proportional to 342,720.24, 472,968.71 and 189,758.42 is: 261,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,720.24 : 472,968.71 = 189,758.42 : x
  2. Step 2: Convert to fraction form
    342,720.24/472,968.71 = 189,758.42/x
  3. Step 3: Cross multiply
    342,720.24x = 472,968.71 × 189,758.42
  4. Step 4: Simplify right side
    342,720.24x = 89,749,792,361.00
  5. Step 5: Solve for x
    x = 89,749,792,361.00/342,720.24
  6. Step 6: Final answer
    x = 261,874.79

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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.