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Finding the Fourth Proportional to 306,744.32, 422,944.96 and 209,994.72

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Solution

The fourth proportional to 306,744.32, 422,944.96 and 209,994.72 is: 289,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,744.32 : 422,944.96 = 209,994.72 : x
  2. Step 2: Convert to fraction form
    306,744.32/422,944.96 = 209,994.72/x
  3. Step 3: Cross multiply
    306,744.32x = 422,944.96 × 209,994.72
  4. Step 4: Simplify right side
    306,744.32x = 88,816,208,450.61
  5. Step 5: Solve for x
    x = 88,816,208,450.61/306,744.32
  6. Step 6: Final answer
    x = 289,544.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.