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Finding the Fourth Proportional to 408,837.56, 613,381.68 and 209,299.32

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Solution

The fourth proportional to 408,837.56, 613,381.68 and 209,299.32 is: 314,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,837.56 : 613,381.68 = 209,299.32 : x
  2. Step 2: Convert to fraction form
    408,837.56/613,381.68 = 209,299.32/x
  3. Step 3: Cross multiply
    408,837.56x = 613,381.68 × 209,299.32
  4. Step 4: Simplify right side
    408,837.56x = 128,380,368,524.46
  5. Step 5: Solve for x
    x = 128,380,368,524.46/408,837.56
  6. Step 6: Final answer
    x = 314,013.15

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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.