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Finding the Fourth Proportional to 339,950.80, 508,889.40 and 199,291.60

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Solution

The fourth proportional to 339,950.80, 508,889.40 and 199,291.60 is: 298,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,950.80 : 508,889.40 = 199,291.60 : x
  2. Step 2: Convert to fraction form
    339,950.80/508,889.40 = 199,291.60/x
  3. Step 3: Cross multiply
    339,950.80x = 508,889.40 × 199,291.60
  4. Step 4: Simplify right side
    339,950.80x = 101,417,382,749.04
  5. Step 5: Solve for x
    x = 101,417,382,749.04/339,950.80
  6. Step 6: Final answer
    x = 298,329.59

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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.