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Finding the Fourth Proportional to 613,583.33, 920,514.42 and 187,157.30

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Solution

The fourth proportional to 613,583.33, 920,514.42 and 187,157.30 is: 280,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,583.33 : 920,514.42 = 187,157.30 : x
  2. Step 2: Convert to fraction form
    613,583.33/920,514.42 = 187,157.30/x
  3. Step 3: Cross multiply
    613,583.33x = 920,514.42 × 187,157.30
  4. Step 4: Simplify right side
    613,583.33x = 172,280,993,458.27
  5. Step 5: Solve for x
    x = 172,280,993,458.27/613,583.33
  6. Step 6: Final answer
    x = 280,778.48

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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.