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Finding the Fourth Proportional to 198,400.32, 297,619.38 and 65,281.68

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Solution

The fourth proportional to 198,400.32, 297,619.38 and 65,281.68 is: 97,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,400.32 : 297,619.38 = 65,281.68 : x
  2. Step 2: Convert to fraction form
    198,400.32/297,619.38 = 65,281.68/x
  3. Step 3: Cross multiply
    198,400.32x = 297,619.38 × 65,281.68
  4. Step 4: Simplify right side
    198,400.32x = 19,429,093,126.96
  5. Step 5: Solve for x
    x = 19,429,093,126.96/198,400.32
  6. Step 6: Final answer
    x = 97,928.74

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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.