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Finding the Fourth Proportional to 408,899.15, 613,474.25 and 209,359.62

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Solution

The fourth proportional to 408,899.15, 613,474.25 and 209,359.62 is: 314,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,899.15 : 613,474.25 = 209,359.62 : x
  2. Step 2: Convert to fraction form
    408,899.15/613,474.25 = 209,359.62/x
  3. Step 3: Cross multiply
    408,899.15x = 613,474.25 × 209,359.62
  4. Step 4: Simplify right side
    408,899.15x = 128,436,734,812.99
  5. Step 5: Solve for x
    x = 128,436,734,812.99/408,899.15
  6. Step 6: Final answer
    x = 314,103.70

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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.