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Finding the Fourth Proportional to 271,402.86, 406,559.97 and 138,277.74

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Solution

The fourth proportional to 271,402.86, 406,559.97 and 138,277.74 is: 207,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,402.86 : 406,559.97 = 138,277.74 : x
  2. Step 2: Convert to fraction form
    271,402.86/406,559.97 = 138,277.74/x
  3. Step 3: Cross multiply
    271,402.86x = 406,559.97 × 138,277.74
  4. Step 4: Simplify right side
    271,402.86x = 56,218,193,826.07
  5. Step 5: Solve for x
    x = 56,218,193,826.07/271,402.86
  6. Step 6: Final answer
    x = 207,139.28

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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.