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Finding the Fourth Proportional to 274,656.20, 411,984.30 and 199,423.40

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Solution

The fourth proportional to 274,656.20, 411,984.30 and 199,423.40 is: 299,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,656.20 : 411,984.30 = 199,423.40 : x
  2. Step 2: Convert to fraction form
    274,656.20/411,984.30 = 199,423.40/x
  3. Step 3: Cross multiply
    274,656.20x = 411,984.30 × 199,423.40
  4. Step 4: Simplify right side
    274,656.20x = 82,159,309,852.62
  5. Step 5: Solve for x
    x = 82,159,309,852.62/274,656.20
  6. Step 6: Final answer
    x = 299,135.10

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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.