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Finding the Fourth Proportional to 275,338.60, 412,910.70 and 97,851.40

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Solution

The fourth proportional to 275,338.60, 412,910.70 and 97,851.40 is: 146,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,338.60 : 412,910.70 = 97,851.40 : x
  2. Step 2: Convert to fraction form
    275,338.60/412,910.70 = 97,851.40/x
  3. Step 3: Cross multiply
    275,338.60x = 412,910.70 × 97,851.40
  4. Step 4: Simplify right side
    275,338.60x = 40,403,890,069.98
  5. Step 5: Solve for x
    x = 40,403,890,069.98/275,338.60
  6. Step 6: Final answer
    x = 146,742.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.