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Finding the Fourth Proportional to 339,483.36, 509,221.80 and 206,400.36

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Solution

The fourth proportional to 339,483.36, 509,221.80 and 206,400.36 is: 309,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,483.36 : 509,221.80 = 206,400.36 : x
  2. Step 2: Convert to fraction form
    339,483.36/509,221.80 = 206,400.36/x
  3. Step 3: Cross multiply
    339,483.36x = 509,221.80 × 206,400.36
  4. Step 4: Simplify right side
    339,483.36x = 105,103,562,839.85
  5. Step 5: Solve for x
    x = 105,103,562,839.85/339,483.36
  6. Step 6: Final answer
    x = 309,598.57

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1.5x scale

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.