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Finding the Fourth Proportional to 408,956.69, 613,560.23 and 209,418.35

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Solution

The fourth proportional to 408,956.69, 613,560.23 and 209,418.35 is: 314,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,956.69 : 613,560.23 = 209,418.35 : x
  2. Step 2: Convert to fraction form
    408,956.69/613,560.23 = 209,418.35/x
  3. Step 3: Cross multiply
    408,956.69x = 613,560.23 × 209,418.35
  4. Step 4: Simplify right side
    408,956.69x = 128,490,769,178.18
  5. Step 5: Solve for x
    x = 128,490,769,178.18/408,956.69
  6. Step 6: Final answer
    x = 314,191.63

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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.