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Finding the Fourth Proportional to 198,381.58, 297,539.55 and 65,263.54

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Solution

The fourth proportional to 198,381.58, 297,539.55 and 65,263.54 is: 97,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,381.58 : 297,539.55 = 65,263.54 : x
  2. Step 2: Convert to fraction form
    198,381.58/297,539.55 = 65,263.54/x
  3. Step 3: Cross multiply
    198,381.58x = 297,539.55 × 65,263.54
  4. Step 4: Simplify right side
    198,381.58x = 19,418,484,323.01
  5. Step 5: Solve for x
    x = 19,418,484,323.01/198,381.58
  6. Step 6: Final answer
    x = 97,884.51

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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.