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Finding the Fourth Proportional to 271,408.86, 406,568.97 and 138,283.74

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Solution

The fourth proportional to 271,408.86, 406,568.97 and 138,283.74 is: 207,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,408.86 : 406,568.97 = 138,283.74 : x
  2. Step 2: Convert to fraction form
    271,408.86/406,568.97 = 138,283.74/x
  3. Step 3: Cross multiply
    271,408.86x = 406,568.97 × 138,283.74
  4. Step 4: Simplify right side
    271,408.86x = 56,221,877,739.55
  5. Step 5: Solve for x
    x = 56,221,877,739.55/271,408.86
  6. Step 6: Final answer
    x = 207,148.28

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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.