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Finding the Fourth Proportional to 328,173.48, 492,343.22 and 91,516.19

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Solution

The fourth proportional to 328,173.48, 492,343.22 and 91,516.19 is: 137,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,173.48 : 492,343.22 = 91,516.19 : x
  2. Step 2: Convert to fraction form
    328,173.48/492,343.22 = 91,516.19/x
  3. Step 3: Cross multiply
    328,173.48x = 492,343.22 × 91,516.19
  4. Step 4: Simplify right side
    328,173.48x = 45,057,373,433.81
  5. Step 5: Solve for x
    x = 45,057,373,433.81/328,173.48
  6. Step 6: Final answer
    x = 137,297.42

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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.