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Finding the Fourth Proportional to 198,334.47, 297,511.28 and 65,211.78

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Solution

The fourth proportional to 198,334.47, 297,511.28 and 65,211.78 is: 97,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,334.47 : 297,511.28 = 65,211.78 : x
  2. Step 2: Convert to fraction form
    198,334.47/297,511.28 = 65,211.78/x
  3. Step 3: Cross multiply
    198,334.47x = 297,511.28 × 65,211.78
  4. Step 4: Simplify right side
    198,334.47x = 19,401,241,173.03
  5. Step 5: Solve for x
    x = 19,401,241,173.03/198,334.47
  6. Step 6: Final answer
    x = 97,820.82

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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.