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Finding the Fourth Proportional to 387,643.20, 582,760.80 and 336,321.60

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Solution

The fourth proportional to 387,643.20, 582,760.80 and 336,321.60 is: 505,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,643.20 : 582,760.80 = 336,321.60 : x
  2. Step 2: Convert to fraction form
    387,643.20/582,760.80 = 336,321.60/x
  3. Step 3: Cross multiply
    387,643.20x = 582,760.80 × 336,321.60
  4. Step 4: Simplify right side
    387,643.20x = 195,995,044,673.28
  5. Step 5: Solve for x
    x = 195,995,044,673.28/387,643.20
  6. Step 6: Final answer
    x = 505,606.82

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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.