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Finding the Fourth Proportional to 271,953, 407,637.90 and 131,401.80

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Solution

The fourth proportional to 271,953, 407,637.90 and 131,401.80 is: 196,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,953 : 407,637.90 = 131,401.80 : x
  2. Step 2: Convert to fraction form
    271,953/407,637.90 = 131,401.80/x
  3. Step 3: Cross multiply
    271,953x = 407,637.90 × 131,401.80
  4. Step 4: Simplify right side
    271,953x = 53,564,353,808.22
  5. Step 5: Solve for x
    x = 53,564,353,808.22/271,953
  6. Step 6: Final answer
    x = 196,961.81

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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.