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Finding the Fourth Proportional to 285,593.78, 427,709.70 and 165,396.77

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Solution

The fourth proportional to 285,593.78, 427,709.70 and 165,396.77 is: 247,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,593.78 : 427,709.70 = 165,396.77 : x
  2. Step 2: Convert to fraction form
    285,593.78/427,709.70 = 165,396.77/x
  3. Step 3: Cross multiply
    285,593.78x = 427,709.70 × 165,396.77
  4. Step 4: Simplify right side
    285,593.78x = 70,741,800,739.12
  5. Step 5: Solve for x
    x = 70,741,800,739.12/285,593.78
  6. Step 6: Final answer
    x = 247,700.78

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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.