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Finding the Fourth Proportional to 328,207.86, 492,268.05 and 91,530.72

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Solution

The fourth proportional to 328,207.86, 492,268.05 and 91,530.72 is: 137,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,207.86 : 492,268.05 = 91,530.72 : x
  2. Step 2: Convert to fraction form
    328,207.86/492,268.05 = 91,530.72/x
  3. Step 3: Cross multiply
    328,207.86x = 492,268.05 × 91,530.72
  4. Step 4: Simplify right side
    328,207.86x = 45,057,649,049.50
  5. Step 5: Solve for x
    x = 45,057,649,049.50/328,207.86
  6. Step 6: Final answer
    x = 137,283.88

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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.