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Finding the Fourth Proportional to 263,501.64, 363,629.80 and 142,639.82

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Solution

The fourth proportional to 263,501.64, 363,629.80 and 142,639.82 is: 196,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,501.64 : 363,629.80 = 142,639.82 : x
  2. Step 2: Convert to fraction form
    263,501.64/363,629.80 = 142,639.82/x
  3. Step 3: Cross multiply
    263,501.64x = 363,629.80 × 142,639.82
  4. Step 4: Simplify right side
    263,501.64x = 51,868,089,218.64
  5. Step 5: Solve for x
    x = 51,868,089,218.64/263,501.64
  6. Step 6: Final answer
    x = 196,841.62

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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.