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Finding the Fourth Proportional to 342,243.46, 472,277.39 and 189,272.72

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Solution

The fourth proportional to 342,243.46, 472,277.39 and 189,272.72 is: 261,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,243.46 : 472,277.39 = 189,272.72 : x
  2. Step 2: Convert to fraction form
    342,243.46/472,277.39 = 189,272.72/x
  3. Step 3: Cross multiply
    342,243.46x = 472,277.39 × 189,272.72
  4. Step 4: Simplify right side
    342,243.46x = 89,389,223,777.57
  5. Step 5: Solve for x
    x = 89,389,223,777.57/342,243.46
  6. Step 6: Final answer
    x = 261,186.07

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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.