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Finding the Fourth Proportional to 328,419.35, 492,850.12 and 115,189.25

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Solution

The fourth proportional to 328,419.35, 492,850.12 and 115,189.25 is: 172,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,419.35 : 492,850.12 = 115,189.25 : x
  2. Step 2: Convert to fraction form
    328,419.35/492,850.12 = 115,189.25/x
  3. Step 3: Cross multiply
    328,419.35x = 492,850.12 × 115,189.25
  4. Step 4: Simplify right side
    328,419.35x = 56,771,033,148.97
  5. Step 5: Solve for x
    x = 56,771,033,148.97/328,419.35
  6. Step 6: Final answer
    x = 172,861.41

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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.