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Finding the Fourth Proportional to 263,559.09, 363,711 and 142,700.49

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Solution

The fourth proportional to 263,559.09, 363,711 and 142,700.49 is: 196,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,559.09 : 363,711 = 142,700.49 : x
  2. Step 2: Convert to fraction form
    263,559.09/363,711 = 142,700.49/x
  3. Step 3: Cross multiply
    263,559.09x = 363,711 × 142,700.49
  4. Step 4: Simplify right side
    263,559.09x = 51,901,737,918.39
  5. Step 5: Solve for x
    x = 51,901,737,918.39/263,559.09
  6. Step 6: Final answer
    x = 196,926.38

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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.