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Finding the Fourth Proportional to 342,248.47, 472,113.28 and 198,992.68

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Solution

The fourth proportional to 342,248.47, 472,113.28 and 198,992.68 is: 274,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,248.47 : 472,113.28 = 198,992.68 : x
  2. Step 2: Convert to fraction form
    342,248.47/472,113.28 = 198,992.68/x
  3. Step 3: Cross multiply
    342,248.47x = 472,113.28 × 198,992.68
  4. Step 4: Simplify right side
    342,248.47x = 93,947,086,850.79
  5. Step 5: Solve for x
    x = 93,947,086,850.79/342,248.47
  6. Step 6: Final answer
    x = 274,499.65

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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.