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Finding the Fourth Proportional to 978,231.06, 1,467,674.84 and 379,211.76

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Solution

The fourth proportional to 978,231.06, 1,467,674.84 and 379,211.76 is: 568,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,231.06 : 1,467,674.84 = 379,211.76 : x
  2. Step 2: Convert to fraction form
    978,231.06/1,467,674.84 = 379,211.76/x
  3. Step 3: Cross multiply
    978,231.06x = 1,467,674.84 × 379,211.76
  4. Step 4: Simplify right side
    978,231.06x = 556,559,560,132.15
  5. Step 5: Solve for x
    x = 556,559,560,132.15/978,231.06
  6. Step 6: Final answer
    x = 568,944.89

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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.