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Finding the Fourth Proportional to 271,653.40, 407,480.10 and 138,793.15

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Solution

The fourth proportional to 271,653.40, 407,480.10 and 138,793.15 is: 208,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,653.40 : 407,480.10 = 138,793.15 : x
  2. Step 2: Convert to fraction form
    271,653.40/407,480.10 = 138,793.15/x
  3. Step 3: Cross multiply
    271,653.40x = 407,480.10 × 138,793.15
  4. Step 4: Simplify right side
    271,653.40x = 56,555,446,641.32
  5. Step 5: Solve for x
    x = 56,555,446,641.32/271,653.40
  6. Step 6: Final answer
    x = 208,189.73

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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.