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Finding the Fourth Proportional to 285,944.83, 428,920.34 and 86,266.96

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Solution

The fourth proportional to 285,944.83, 428,920.34 and 86,266.96 is: 129,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,944.83 : 428,920.34 = 86,266.96 : x
  2. Step 2: Convert to fraction form
    285,944.83/428,920.34 = 86,266.96/x
  3. Step 3: Cross multiply
    285,944.83x = 428,920.34 × 86,266.96
  4. Step 4: Simplify right side
    285,944.83x = 37,001,652,310.33
  5. Step 5: Solve for x
    x = 37,001,652,310.33/285,944.83
  6. Step 6: Final answer
    x = 129,401.37

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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.