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Finding the Fourth Proportional to 440,054.64, 659,976.32 and 203,169.76

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Solution

The fourth proportional to 440,054.64, 659,976.32 and 203,169.76 is: 304,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,054.64 : 659,976.32 = 203,169.76 : x
  2. Step 2: Convert to fraction form
    440,054.64/659,976.32 = 203,169.76/x
  3. Step 3: Cross multiply
    440,054.64x = 659,976.32 × 203,169.76
  4. Step 4: Simplify right side
    440,054.64x = 134,087,230,540.08
  5. Step 5: Solve for x
    x = 134,087,230,540.08/440,054.64
  6. Step 6: Final answer
    x = 304,705.87

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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.