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Finding the Fourth Proportional to 326,652.72, 450,778.56 and 205,872

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Solution

The fourth proportional to 326,652.72, 450,778.56 and 205,872 is: 284,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,652.72 : 450,778.56 = 205,872 : x
  2. Step 2: Convert to fraction form
    326,652.72/450,778.56 = 205,872/x
  3. Step 3: Cross multiply
    326,652.72x = 450,778.56 × 205,872
  4. Step 4: Simplify right side
    326,652.72x = 92,802,683,704.32
  5. Step 5: Solve for x
    x = 92,802,683,704.32/326,652.72
  6. Step 6: Final answer
    x = 284,101.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.