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Finding the Fourth Proportional to 328,365.78, 491,835.87 and 201,621.30

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Solution

The fourth proportional to 328,365.78, 491,835.87 and 201,621.30 is: 301,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,365.78 : 491,835.87 = 201,621.30 : x
  2. Step 2: Convert to fraction form
    328,365.78/491,835.87 = 201,621.30/x
  3. Step 3: Cross multiply
    328,365.78x = 491,835.87 × 201,621.30
  4. Step 4: Simplify right side
    328,365.78x = 99,164,587,496.03
  5. Step 5: Solve for x
    x = 99,164,587,496.03/328,365.78
  6. Step 6: Final answer
    x = 301,994.28

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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.