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Finding the Fourth Proportional to 328,001.40, 491,832 and 150,355.44

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Solution

The fourth proportional to 328,001.40, 491,832 and 150,355.44 is: 225,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,001.40 : 491,832 = 150,355.44 : x
  2. Step 2: Convert to fraction form
    328,001.40/491,832 = 150,355.44/x
  3. Step 3: Cross multiply
    328,001.40x = 491,832 × 150,355.44
  4. Step 4: Simplify right side
    328,001.40x = 73,949,616,766.08
  5. Step 5: Solve for x
    x = 73,949,616,766.08/328,001.40
  6. Step 6: Final answer
    x = 225,455.19

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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.