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Finding the Fourth Proportional to 198,694, 298,041.72 and 188,727.76

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Solution

The fourth proportional to 198,694, 298,041.72 and 188,727.76 is: 283,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,694 : 298,041.72 = 188,727.76 : x
  2. Step 2: Convert to fraction form
    198,694/298,041.72 = 188,727.76/x
  3. Step 3: Cross multiply
    198,694x = 298,041.72 × 188,727.76
  4. Step 4: Simplify right side
    198,694x = 56,248,746,202.15
  5. Step 5: Solve for x
    x = 56,248,746,202.15/198,694
  6. Step 6: Final answer
    x = 283,092.32

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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.