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Finding the Fourth Proportional to 387,782.89, 582,219.29 and 198,379.12

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Solution

The fourth proportional to 387,782.89, 582,219.29 and 198,379.12 is: 297,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,782.89 : 582,219.29 = 198,379.12 : x
  2. Step 2: Convert to fraction form
    387,782.89/582,219.29 = 198,379.12/x
  3. Step 3: Cross multiply
    387,782.89x = 582,219.29 × 198,379.12
  4. Step 4: Simplify right side
    387,782.89x = 115,500,150,397.23
  5. Step 5: Solve for x
    x = 115,500,150,397.23/387,782.89
  6. Step 6: Final answer
    x = 297,847.46

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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.