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Finding the Fourth Proportional to 339,483.11, 509,221.42 and 206,400.11

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Solution

The fourth proportional to 339,483.11, 509,221.42 and 206,400.11 is: 309,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,483.11 : 509,221.42 = 206,400.11 : x
  2. Step 2: Convert to fraction form
    339,483.11/509,221.42 = 206,400.11/x
  3. Step 3: Cross multiply
    339,483.11x = 509,221.42 × 206,400.11
  4. Step 4: Simplify right side
    339,483.11x = 105,103,357,102.36
  5. Step 5: Solve for x
    x = 105,103,357,102.36/339,483.11
  6. Step 6: Final answer
    x = 309,598.19

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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.