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Finding the Fourth Proportional to 339,742.70, 509,268.45 and 199,429.10

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Solution

The fourth proportional to 339,742.70, 509,268.45 and 199,429.10 is: 298,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,742.70 : 509,268.45 = 199,429.10 : x
  2. Step 2: Convert to fraction form
    339,742.70/509,268.45 = 199,429.10/x
  3. Step 3: Cross multiply
    339,742.70x = 509,268.45 × 199,429.10
  4. Step 4: Simplify right side
    339,742.70x = 101,562,948,641.90
  5. Step 5: Solve for x
    x = 101,562,948,641.90/339,742.70
  6. Step 6: Final answer
    x = 298,940.78

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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.