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Finding the Fourth Proportional to 285,057.78, 427,466.36 and 85,406.54

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Solution

The fourth proportional to 285,057.78, 427,466.36 and 85,406.54 is: 128,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,057.78 : 427,466.36 = 85,406.54 : x
  2. Step 2: Convert to fraction form
    285,057.78/427,466.36 = 85,406.54/x
  3. Step 3: Cross multiply
    285,057.78x = 427,466.36 × 85,406.54
  4. Step 4: Simplify right side
    285,057.78x = 36,508,422,773.99
  5. Step 5: Solve for x
    x = 36,508,422,773.99/285,057.78
  6. Step 6: Final answer
    x = 128,073.76

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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.