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Finding the Fourth Proportional to 408,898.82, 613,473.73 and 209,359.30

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Solution

The fourth proportional to 408,898.82, 613,473.73 and 209,359.30 is: 314,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,898.82 : 613,473.73 = 209,359.30 : x
  2. Step 2: Convert to fraction form
    408,898.82/613,473.73 = 209,359.30/x
  3. Step 3: Cross multiply
    408,898.82x = 613,473.73 × 209,359.30
  4. Step 4: Simplify right side
    408,898.82x = 128,436,430,924.63
  5. Step 5: Solve for x
    x = 128,436,430,924.63/408,898.82
  6. Step 6: Final answer
    x = 314,103.21

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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.