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Finding the Fourth Proportional to 243,383.30, 364,579.21 and 198,564.38

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Solution

The fourth proportional to 243,383.30, 364,579.21 and 198,564.38 is: 297,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,383.30 : 364,579.21 = 198,564.38 : x
  2. Step 2: Convert to fraction form
    243,383.30/364,579.21 = 198,564.38/x
  3. Step 3: Cross multiply
    243,383.30x = 364,579.21 × 198,564.38
  4. Step 4: Simplify right side
    243,383.30x = 72,392,444,794.54
  5. Step 5: Solve for x
    x = 72,392,444,794.54/243,383.30
  6. Step 6: Final answer
    x = 297,442.12

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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.