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Finding the Fourth Proportional to 387,859.12, 582,333.60 and 198,455.30

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Solution

The fourth proportional to 387,859.12, 582,333.60 and 198,455.30 is: 297,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,859.12 : 582,333.60 = 198,455.30 : x
  2. Step 2: Convert to fraction form
    387,859.12/582,333.60 = 198,455.30/x
  3. Step 3: Cross multiply
    387,859.12x = 582,333.60 × 198,455.30
  4. Step 4: Simplify right side
    387,859.12x = 115,567,189,304.37
  5. Step 5: Solve for x
    x = 115,567,189,304.37/387,859.12
  6. Step 6: Final answer
    x = 297,961.77

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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.