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Finding the Fourth Proportional to 271,472.16, 374,670.31 and 156,727.86

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Solution

The fourth proportional to 271,472.16, 374,670.31 and 156,727.86 is: 216,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,472.16 : 374,670.31 = 156,727.86 : x
  2. Step 2: Convert to fraction form
    271,472.16/374,670.31 = 156,727.86/x
  3. Step 3: Cross multiply
    271,472.16x = 374,670.31 × 156,727.86
  4. Step 4: Simplify right side
    271,472.16x = 58,721,276,496.39
  5. Step 5: Solve for x
    x = 58,721,276,496.39/271,472.16
  6. Step 6: Final answer
    x = 216,306.81

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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.