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Finding the Fourth Proportional to 408,861.90, 613,418.49 and 209,322.36

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Solution

The fourth proportional to 408,861.90, 613,418.49 and 209,322.36 is: 314,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,861.90 : 613,418.49 = 209,322.36 : x
  2. Step 2: Convert to fraction form
    408,861.90/613,418.49 = 209,322.36/x
  3. Step 3: Cross multiply
    408,861.90x = 613,418.49 × 209,322.36
  4. Step 4: Simplify right side
    408,861.90x = 128,402,205,994.44
  5. Step 5: Solve for x
    x = 128,402,205,994.44/408,861.90
  6. Step 6: Final answer
    x = 314,047.86

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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.