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Finding the Fourth Proportional to 263,571.41, 363,728.70 and 142,712.78

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Solution

The fourth proportional to 263,571.41, 363,728.70 and 142,712.78 is: 196,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,571.41 : 363,728.70 = 142,712.78 : x
  2. Step 2: Convert to fraction form
    263,571.41/363,728.70 = 142,712.78/x
  3. Step 3: Cross multiply
    263,571.41x = 363,728.70 × 142,712.78
  4. Step 4: Simplify right side
    263,571.41x = 51,908,732,124.14
  5. Step 5: Solve for x
    x = 51,908,732,124.14/263,571.41
  6. Step 6: Final answer
    x = 196,943.71

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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.