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Finding the Fourth Proportional to 339,435.22, 509,363.09 and 197,347.36

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Solution

The fourth proportional to 339,435.22, 509,363.09 and 197,347.36 is: 296,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,435.22 : 509,363.09 = 197,347.36 : x
  2. Step 2: Convert to fraction form
    339,435.22/509,363.09 = 197,347.36/x
  3. Step 3: Cross multiply
    339,435.22x = 509,363.09 × 197,347.36
  4. Step 4: Simplify right side
    339,435.22x = 100,521,461,092.94
  5. Step 5: Solve for x
    x = 100,521,461,092.94/339,435.22
  6. Step 6: Final answer
    x = 296,143.28

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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.