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Finding the Fourth Proportional to 328,201.10, 492,257.90 and 91,523.96

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Solution

The fourth proportional to 328,201.10, 492,257.90 and 91,523.96 is: 137,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,201.10 : 492,257.90 = 91,523.96 : x
  2. Step 2: Convert to fraction form
    328,201.10/492,257.90 = 91,523.96/x
  3. Step 3: Cross multiply
    328,201.10x = 492,257.90 × 91,523.96
  4. Step 4: Simplify right side
    328,201.10x = 45,053,391,962.77
  5. Step 5: Solve for x
    x = 45,053,391,962.77/328,201.10
  6. Step 6: Final answer
    x = 137,273.74

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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.