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Finding the Fourth Proportional to 387,780.64, 582,215.91 and 198,376.86

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Solution

The fourth proportional to 387,780.64, 582,215.91 and 198,376.86 is: 297,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,780.64 : 582,215.91 = 198,376.86 : x
  2. Step 2: Convert to fraction form
    387,780.64/582,215.91 = 198,376.86/x
  3. Step 3: Cross multiply
    387,780.64x = 582,215.91 × 198,376.86
  4. Step 4: Simplify right side
    387,780.64x = 115,498,164,067.84
  5. Step 5: Solve for x
    x = 115,498,164,067.84/387,780.64
  6. Step 6: Final answer
    x = 297,844.07

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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.