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Finding the Fourth Proportional to 271,686.63, 406,999.78 and 177,908.07

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Solution

The fourth proportional to 271,686.63, 406,999.78 and 177,908.07 is: 266,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,686.63 : 406,999.78 = 177,908.07 : x
  2. Step 2: Convert to fraction form
    271,686.63/406,999.78 = 177,908.07/x
  3. Step 3: Cross multiply
    271,686.63x = 406,999.78 × 177,908.07
  4. Step 4: Simplify right side
    271,686.63x = 72,408,545,350.22
  5. Step 5: Solve for x
    x = 72,408,545,350.22/271,686.63
  6. Step 6: Final answer
    x = 266,514.94

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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.