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Finding the Fourth Proportional to 198,438.46, 297,698.69 and 65,326.70

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Solution

The fourth proportional to 198,438.46, 297,698.69 and 65,326.70 is: 98,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,438.46 : 297,698.69 = 65,326.70 : x
  2. Step 2: Convert to fraction form
    198,438.46/297,698.69 = 65,326.70/x
  3. Step 3: Cross multiply
    198,438.46x = 297,698.69 × 65,326.70
  4. Step 4: Simplify right side
    198,438.46x = 19,447,673,919.59
  5. Step 5: Solve for x
    x = 19,447,673,919.59/198,438.46
  6. Step 6: Final answer
    x = 98,003.55

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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.