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Finding the Fourth Proportional to 198,439.80, 297,700.68 and 65,328

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Solution

The fourth proportional to 198,439.80, 297,700.68 and 65,328 is: 98,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,439.80 : 297,700.68 = 65,328 : x
  2. Step 2: Convert to fraction form
    198,439.80/297,700.68 = 65,328/x
  3. Step 3: Cross multiply
    198,439.80x = 297,700.68 × 65,328
  4. Step 4: Simplify right side
    198,439.80x = 19,448,190,023.04
  5. Step 5: Solve for x
    x = 19,448,190,023.04/198,439.80
  6. Step 6: Final answer
    x = 98,005.49

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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.