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Finding the Fourth Proportional to 198,577.40, 297,866.10 and 188,900.60

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Solution

The fourth proportional to 198,577.40, 297,866.10 and 188,900.60 is: 283,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,577.40 : 297,866.10 = 188,900.60 : x
  2. Step 2: Convert to fraction form
    198,577.40/297,866.10 = 188,900.60/x
  3. Step 3: Cross multiply
    198,577.40x = 297,866.10 × 188,900.60
  4. Step 4: Simplify right side
    198,577.40x = 56,267,085,009.66
  5. Step 5: Solve for x
    x = 56,267,085,009.66/198,577.40
  6. Step 6: Final answer
    x = 283,350.90

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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.