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Finding the Fourth Proportional to 263,395.49, 363,485.79 and 142,536.78

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Solution

The fourth proportional to 263,395.49, 363,485.79 and 142,536.78 is: 196,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,395.49 : 363,485.79 = 142,536.78 : x
  2. Step 2: Convert to fraction form
    263,395.49/363,485.79 = 142,536.78/x
  3. Step 3: Cross multiply
    263,395.49x = 363,485.79 × 142,536.78
  4. Step 4: Simplify right side
    263,395.49x = 51,810,094,282.80
  5. Step 5: Solve for x
    x = 51,810,094,282.80/263,395.49
  6. Step 6: Final answer
    x = 196,700.77

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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.