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Finding the Fourth Proportional to 259,495.74, 389,107.29 and 117,218.43

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Solution

The fourth proportional to 259,495.74, 389,107.29 and 117,218.43 is: 175,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,495.74 : 389,107.29 = 117,218.43 : x
  2. Step 2: Convert to fraction form
    259,495.74/389,107.29 = 117,218.43/x
  3. Step 3: Cross multiply
    259,495.74x = 389,107.29 × 117,218.43
  4. Step 4: Simplify right side
    259,495.74x = 45,610,545,635.35
  5. Step 5: Solve for x
    x = 45,610,545,635.35/259,495.74
  6. Step 6: Final answer
    x = 175,766.07

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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.