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Finding the Fourth Proportional to 271,390.60, 374,512.50 and 158,206

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Solution

The fourth proportional to 271,390.60, 374,512.50 and 158,206 is: 218,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,390.60 : 374,512.50 = 158,206 : x
  2. Step 2: Convert to fraction form
    271,390.60/374,512.50 = 158,206/x
  3. Step 3: Cross multiply
    271,390.60x = 374,512.50 × 158,206
  4. Step 4: Simplify right side
    271,390.60x = 59,250,124,575
  5. Step 5: Solve for x
    x = 59,250,124,575/271,390.60
  6. Step 6: Final answer
    x = 218,320.47

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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.