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Finding the Fourth Proportional to 342,121.50, 472,142.25 and 191,218.50

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Solution

The fourth proportional to 342,121.50, 472,142.25 and 191,218.50 is: 263,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,121.50 : 472,142.25 = 191,218.50 : x
  2. Step 2: Convert to fraction form
    342,121.50/472,142.25 = 191,218.50/x
  3. Step 3: Cross multiply
    342,121.50x = 472,142.25 × 191,218.50
  4. Step 4: Simplify right side
    342,121.50x = 90,282,332,831.63
  5. Step 5: Solve for x
    x = 90,282,332,831.63/342,121.50
  6. Step 6: Final answer
    x = 263,889.68

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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.