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Finding the Fourth Proportional to 271,859.70, 407,789.55 and 209,651.70

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Solution

The fourth proportional to 271,859.70, 407,789.55 and 209,651.70 is: 314,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,859.70 : 407,789.55 = 209,651.70 : x
  2. Step 2: Convert to fraction form
    271,859.70/407,789.55 = 209,651.70/x
  3. Step 3: Cross multiply
    271,859.70x = 407,789.55 × 209,651.70
  4. Step 4: Simplify right side
    271,859.70x = 85,493,772,399.74
  5. Step 5: Solve for x
    x = 85,493,772,399.74/271,859.70
  6. Step 6: Final answer
    x = 314,477.55

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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.