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Finding the Fourth Proportional to 271,707.20, 407,560.80 and 209,499.20

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Solution

The fourth proportional to 271,707.20, 407,560.80 and 209,499.20 is: 314,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,707.20 : 407,560.80 = 209,499.20 : x
  2. Step 2: Convert to fraction form
    271,707.20/407,560.80 = 209,499.20/x
  3. Step 3: Cross multiply
    271,707.20x = 407,560.80 × 209,499.20
  4. Step 4: Simplify right side
    271,707.20x = 85,383,661,551.36
  5. Step 5: Solve for x
    x = 85,383,661,551.36/271,707.20
  6. Step 6: Final answer
    x = 314,248.80

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1.5x scale

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.