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Finding the Fourth Proportional to 339,744.70, 509,271.45 and 199,431.10

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Solution

The fourth proportional to 339,744.70, 509,271.45 and 199,431.10 is: 298,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,744.70 : 509,271.45 = 199,431.10 : x
  2. Step 2: Convert to fraction form
    339,744.70/509,271.45 = 199,431.10/x
  3. Step 3: Cross multiply
    339,744.70x = 509,271.45 × 199,431.10
  4. Step 4: Simplify right side
    339,744.70x = 101,564,565,472.10
  5. Step 5: Solve for x
    x = 101,564,565,472.10/339,744.70
  6. Step 6: Final answer
    x = 298,943.78

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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.