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Finding the Fourth Proportional to 198,433.09, 297,690.63 and 65,321.34

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Solution

The fourth proportional to 198,433.09, 297,690.63 and 65,321.34 is: 97,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,433.09 : 297,690.63 = 65,321.34 : x
  2. Step 2: Convert to fraction form
    198,433.09/297,690.63 = 65,321.34/x
  3. Step 3: Cross multiply
    198,433.09x = 297,690.63 × 65,321.34
  4. Step 4: Simplify right side
    198,433.09x = 19,445,550,857.04
  5. Step 5: Solve for x
    x = 19,445,550,857.04/198,433.09
  6. Step 6: Final answer
    x = 97,995.50

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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.