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Finding the Fourth Proportional to 320,279.56, 480,439.16 and 107,066.66

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Solution

The fourth proportional to 320,279.56, 480,439.16 and 107,066.66 is: 160,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,279.56 : 480,439.16 = 107,066.66 : x
  2. Step 2: Convert to fraction form
    320,279.56/480,439.16 = 107,066.66/x
  3. Step 3: Cross multiply
    320,279.56x = 480,439.16 × 107,066.66
  4. Step 4: Simplify right side
    320,279.56x = 51,439,015,659.07
  5. Step 5: Solve for x
    x = 51,439,015,659.07/320,279.56
  6. Step 6: Final answer
    x = 160,606.61

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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.