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Finding the Fourth Proportional to 198,340.88, 297,520.89 and 65,218.19

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Solution

The fourth proportional to 198,340.88, 297,520.89 and 65,218.19 is: 97,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,340.88 : 297,520.89 = 65,218.19 : x
  2. Step 2: Convert to fraction form
    198,340.88/297,520.89 = 65,218.19/x
  3. Step 3: Cross multiply
    198,340.88x = 297,520.89 × 65,218.19
  4. Step 4: Simplify right side
    198,340.88x = 19,403,773,606.90
  5. Step 5: Solve for x
    x = 19,403,773,606.90/198,340.88
  6. Step 6: Final answer
    x = 97,830.43

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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.