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Finding the Fourth Proportional to 339,532,906.20, 509,299,359.30 and 339,532,906.20

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Solution

The fourth proportional to 339,532,906.20, 509,299,359.30 and 339,532,906.20 is: 509,299,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,532,906.20 : 509,299,359.30 = 339,532,906.20 : x
  2. Step 2: Convert to fraction form
    339,532,906.20/509,299,359.30 = 339,532,906.20/x
  3. Step 3: Cross multiply
    339,532,906.20x = 509,299,359.30 × 339,532,906.20
  4. Step 4: Simplify right side
    339,532,906.20x = 172,923,891,588,927,008
  5. Step 5: Solve for x
    x = 172,923,891,588,927,008/339,532,906.20
  6. Step 6: Final answer
    x = 509,299,359.30

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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.