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Finding the Fourth Proportional to 613,381.47, 920,172.06 and 181,142.64

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Solution

The fourth proportional to 613,381.47, 920,172.06 and 181,142.64 is: 271,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,381.47 : 920,172.06 = 181,142.64 : x
  2. Step 2: Convert to fraction form
    613,381.47/920,172.06 = 181,142.64/x
  3. Step 3: Cross multiply
    613,381.47x = 920,172.06 × 181,142.64
  4. Step 4: Simplify right side
    613,381.47x = 166,682,396,202.64
  5. Step 5: Solve for x
    x = 166,682,396,202.64/613,381.47
  6. Step 6: Final answer
    x = 271,743.45

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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.