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Finding the Fourth Proportional to 311,248.10, 467,090.85 and 199,200.80

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Solution

The fourth proportional to 311,248.10, 467,090.85 and 199,200.80 is: 298,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,248.10 : 467,090.85 = 199,200.80 : x
  2. Step 2: Convert to fraction form
    311,248.10/467,090.85 = 199,200.80/x
  3. Step 3: Cross multiply
    311,248.10x = 467,090.85 × 199,200.80
  4. Step 4: Simplify right side
    311,248.10x = 93,044,870,992.68
  5. Step 5: Solve for x
    x = 93,044,870,992.68/311,248.10
  6. Step 6: Final answer
    x = 298,941.17

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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.