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Finding the Fourth Proportional to 353,656.08, 488,057.16 and 198,634.64

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Solution

The fourth proportional to 353,656.08, 488,057.16 and 198,634.64 is: 274,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,656.08 : 488,057.16 = 198,634.64 : x
  2. Step 2: Convert to fraction form
    353,656.08/488,057.16 = 198,634.64/x
  3. Step 3: Cross multiply
    353,656.08x = 488,057.16 × 198,634.64
  4. Step 4: Simplify right side
    353,656.08x = 96,945,060,139.94
  5. Step 5: Solve for x
    x = 96,945,060,139.94/353,656.08
  6. Step 6: Final answer
    x = 274,122.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.