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Finding the Fourth Proportional to 408,891.63, 613,463.01 and 209,352.11

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Solution

The fourth proportional to 408,891.63, 613,463.01 and 209,352.11 is: 314,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,891.63 : 613,463.01 = 209,352.11 : x
  2. Step 2: Convert to fraction form
    408,891.63/613,463.01 = 209,352.11/x
  3. Step 3: Cross multiply
    408,891.63x = 613,463.01 × 209,352.11
  4. Step 4: Simplify right side
    408,891.63x = 128,429,775,550.45
  5. Step 5: Solve for x
    x = 128,429,775,550.45/408,891.63
  6. Step 6: Final answer
    x = 314,092.45

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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.