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Finding the Fourth Proportional to 275,409.40, 413,114.10 and 205,425.40

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Solution

The fourth proportional to 275,409.40, 413,114.10 and 205,425.40 is: 308,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,409.40 : 413,114.10 = 205,425.40 : x
  2. Step 2: Convert to fraction form
    275,409.40/413,114.10 = 205,425.40/x
  3. Step 3: Cross multiply
    275,409.40x = 413,114.10 × 205,425.40
  4. Step 4: Simplify right side
    275,409.40x = 84,864,129,238.14
  5. Step 5: Solve for x
    x = 84,864,129,238.14/275,409.40
  6. Step 6: Final answer
    x = 308,138.10

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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.