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Finding the Fourth Proportional to 271,489.34, 374,709.82 and 156,786.66

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Solution

The fourth proportional to 271,489.34, 374,709.82 and 156,786.66 is: 216,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,489.34 : 374,709.82 = 156,786.66 : x
  2. Step 2: Convert to fraction form
    271,489.34/374,709.82 = 156,786.66/x
  3. Step 3: Cross multiply
    271,489.34x = 374,709.82 × 156,786.66
  4. Step 4: Simplify right side
    271,489.34x = 58,749,499,180.47
  5. Step 5: Solve for x
    x = 58,749,499,180.47/271,489.34
  6. Step 6: Final answer
    x = 216,397.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.