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Finding the Fourth Proportional to 382,879.88, 574,276.28 and 102,419

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Solution

The fourth proportional to 382,879.88, 574,276.28 and 102,419 is: 153,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,879.88 : 574,276.28 = 102,419 : x
  2. Step 2: Convert to fraction form
    382,879.88/574,276.28 = 102,419/x
  3. Step 3: Cross multiply
    382,879.88x = 574,276.28 × 102,419
  4. Step 4: Simplify right side
    382,879.88x = 58,816,802,321.32
  5. Step 5: Solve for x
    x = 58,816,802,321.32/382,879.88
  6. Step 6: Final answer
    x = 153,616.85

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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.