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Finding the Fourth Proportional to 340,389.62, 510,021.48 and 206,864.36

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Solution

The fourth proportional to 340,389.62, 510,021.48 and 206,864.36 is: 309,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,389.62 : 510,021.48 = 206,864.36 : x
  2. Step 2: Convert to fraction form
    340,389.62/510,021.48 = 206,864.36/x
  3. Step 3: Cross multiply
    340,389.62x = 510,021.48 × 206,864.36
  4. Step 4: Simplify right side
    340,389.62x = 105,505,267,046.45
  5. Step 5: Solve for x
    x = 105,505,267,046.45/340,389.62
  6. Step 6: Final answer
    x = 309,954.42

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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.