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Finding the Fourth Proportional to 274,644.40, 411,966.60 and 169,121.20

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Solution

The fourth proportional to 274,644.40, 411,966.60 and 169,121.20 is: 253,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.40 : 411,966.60 = 169,121.20 : x
  2. Step 2: Convert to fraction form
    274,644.40/411,966.60 = 169,121.20/x
  3. Step 3: Cross multiply
    274,644.40x = 411,966.60 × 169,121.20
  4. Step 4: Simplify right side
    274,644.40x = 69,672,285,751.92
  5. Step 5: Solve for x
    x = 69,672,285,751.92/274,644.40
  6. Step 6: Final answer
    x = 253,681.80

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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.