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Finding the Fourth Proportional to 342,212.85, 472,263.75 and 189,255.69

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Solution

The fourth proportional to 342,212.85, 472,263.75 and 189,255.69 is: 261,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,212.85 : 472,263.75 = 189,255.69 : x
  2. Step 2: Convert to fraction form
    342,212.85/472,263.75 = 189,255.69/x
  3. Step 3: Cross multiply
    342,212.85x = 472,263.75 × 189,255.69
  4. Step 4: Simplify right side
    342,212.85x = 89,378,601,868.24
  5. Step 5: Solve for x
    x = 89,378,601,868.24/342,212.85
  6. Step 6: Final answer
    x = 261,178.39

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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.