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Finding the Fourth Proportional to 357,696, 493,620.48 and 198,720

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Solution

The fourth proportional to 357,696, 493,620.48 and 198,720 is: 274,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,696 : 493,620.48 = 198,720 : x
  2. Step 2: Convert to fraction form
    357,696/493,620.48 = 198,720/x
  3. Step 3: Cross multiply
    357,696x = 493,620.48 × 198,720
  4. Step 4: Simplify right side
    357,696x = 98,092,261,785.60
  5. Step 5: Solve for x
    x = 98,092,261,785.60/357,696
  6. Step 6: Final answer
    x = 274,233.60

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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.