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Finding the Fourth Proportional to 274,995.20, 411,801.60 and 204,492.80

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Solution

The fourth proportional to 274,995.20, 411,801.60 and 204,492.80 is: 306,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,995.20 : 411,801.60 = 204,492.80 : x
  2. Step 2: Convert to fraction form
    274,995.20/411,801.60 = 204,492.80/x
  3. Step 3: Cross multiply
    274,995.20x = 411,801.60 × 204,492.80
  4. Step 4: Simplify right side
    274,995.20x = 84,210,462,228.48
  5. Step 5: Solve for x
    x = 84,210,462,228.48/274,995.20
  6. Step 6: Final answer
    x = 306,225.21

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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.