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Finding the Fourth Proportional to 198,644, 297,966.72 and 188,677.76

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Solution

The fourth proportional to 198,644, 297,966.72 and 188,677.76 is: 283,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,644 : 297,966.72 = 188,677.76 : x
  2. Step 2: Convert to fraction form
    198,644/297,966.72 = 188,677.76/x
  3. Step 3: Cross multiply
    198,644x = 297,966.72 × 188,677.76
  4. Step 4: Simplify right side
    198,644x = 56,219,693,284.15
  5. Step 5: Solve for x
    x = 56,219,693,284.15/198,644
  6. Step 6: Final answer
    x = 283,017.32

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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.