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Finding the Fourth Proportional to 491,969, 737,940.54 and 136,968.68

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Solution

The fourth proportional to 491,969, 737,940.54 and 136,968.68 is: 205,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,969 : 737,940.54 = 136,968.68 : x
  2. Step 2: Convert to fraction form
    491,969/737,940.54 = 136,968.68/x
  3. Step 3: Cross multiply
    491,969x = 737,940.54 × 136,968.68
  4. Step 4: Simplify right side
    491,969x = 101,074,741,682.29
  5. Step 5: Solve for x
    x = 101,074,741,682.29/491,969
  6. Step 6: Final answer
    x = 205,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.