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Finding the Fourth Proportional to 613,629.87, 920,497.31 and 187,261.62

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Solution

The fourth proportional to 613,629.87, 920,497.31 and 187,261.62 is: 280,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,629.87 : 920,497.31 = 187,261.62 : x
  2. Step 2: Convert to fraction form
    613,629.87/920,497.31 = 187,261.62/x
  3. Step 3: Cross multiply
    613,629.87x = 920,497.31 × 187,261.62
  4. Step 4: Simplify right side
    613,629.87x = 172,373,811,937.45
  5. Step 5: Solve for x
    x = 172,373,811,937.45/613,629.87
  6. Step 6: Final answer
    x = 280,908.44

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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.