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Finding the Fourth Proportional to 423,552.98, 635,142.96 and 198,977.24

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Solution

The fourth proportional to 423,552.98, 635,142.96 and 198,977.24 is: 298,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,552.98 : 635,142.96 = 198,977.24 : x
  2. Step 2: Convert to fraction form
    423,552.98/635,142.96 = 198,977.24/x
  3. Step 3: Cross multiply
    423,552.98x = 635,142.96 × 198,977.24
  4. Step 4: Simplify right side
    423,552.98x = 126,378,994,774.09
  5. Step 5: Solve for x
    x = 126,378,994,774.09/423,552.98
  6. Step 6: Final answer
    x = 298,378.24

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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.