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Finding the Fourth Proportional to 198,418.50, 297,670.86 and 65,312.28

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Solution

The fourth proportional to 198,418.50, 297,670.86 and 65,312.28 is: 97,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,418.50 : 297,670.86 = 65,312.28 : x
  2. Step 2: Convert to fraction form
    198,418.50/297,670.86 = 65,312.28/x
  3. Step 3: Cross multiply
    198,418.50x = 297,670.86 × 65,312.28
  4. Step 4: Simplify right side
    198,418.50x = 19,441,562,556.16
  5. Step 5: Solve for x
    x = 19,441,562,556.16/198,418.50
  6. Step 6: Final answer
    x = 97,982.61

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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.