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Finding the Fourth Proportional to 274,456.40, 411,628.62 and 96,969.20

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Solution

The fourth proportional to 274,456.40, 411,628.62 and 96,969.20 is: 145,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,456.40 : 411,628.62 = 96,969.20 : x
  2. Step 2: Convert to fraction form
    274,456.40/411,628.62 = 96,969.20/x
  3. Step 3: Cross multiply
    274,456.40x = 411,628.62 × 96,969.20
  4. Step 4: Simplify right side
    274,456.40x = 39,915,297,978.50
  5. Step 5: Solve for x
    x = 39,915,297,978.50/274,456.40
  6. Step 6: Final answer
    x = 145,434.02

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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.