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Finding the Fourth Proportional to 408,857.78, 613,412.30 and 209,318.24

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Solution

The fourth proportional to 408,857.78, 613,412.30 and 209,318.24 is: 314,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.78 : 613,412.30 = 209,318.24 : x
  2. Step 2: Convert to fraction form
    408,857.78/613,412.30 = 209,318.24/x
  3. Step 3: Cross multiply
    408,857.78x = 613,412.30 × 209,318.24
  4. Step 4: Simplify right side
    408,857.78x = 128,398,385,087.18
  5. Step 5: Solve for x
    x = 128,398,385,087.18/408,857.78
  6. Step 6: Final answer
    x = 314,041.68

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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.