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Finding the Fourth Proportional to 271,495.43, 407,031.74 and 129,267.53

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Solution

The fourth proportional to 271,495.43, 407,031.74 and 129,267.53 is: 193,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,495.43 : 407,031.74 = 129,267.53 : x
  2. Step 2: Convert to fraction form
    271,495.43/407,031.74 = 129,267.53/x
  3. Step 3: Cross multiply
    271,495.43x = 407,031.74 × 129,267.53
  4. Step 4: Simplify right side
    271,495.43x = 52,615,987,015.06
  5. Step 5: Solve for x
    x = 52,615,987,015.06/271,495.43
  6. Step 6: Final answer
    x = 193,800.64

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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.