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Finding the Fourth Proportional to 263,205.68, 363,222.64 and 142,347.05

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Solution

The fourth proportional to 263,205.68, 363,222.64 and 142,347.05 is: 196,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,205.68 : 363,222.64 = 142,347.05 : x
  2. Step 2: Convert to fraction form
    263,205.68/363,222.64 = 142,347.05/x
  3. Step 3: Cross multiply
    263,205.68x = 363,222.64 × 142,347.05
  4. Step 4: Simplify right side
    263,205.68x = 51,703,671,021.12
  5. Step 5: Solve for x
    x = 51,703,671,021.12/263,205.68
  6. Step 6: Final answer
    x = 196,438.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.