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Finding the Fourth Proportional to 271,043.80, 406,403.70 and 165,938.20

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Solution

The fourth proportional to 271,043.80, 406,403.70 and 165,938.20 is: 248,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,043.80 : 406,403.70 = 165,938.20 : x
  2. Step 2: Convert to fraction form
    271,043.80/406,403.70 = 165,938.20/x
  3. Step 3: Cross multiply
    271,043.80x = 406,403.70 × 165,938.20
  4. Step 4: Simplify right side
    271,043.80x = 67,437,898,451.34
  5. Step 5: Solve for x
    x = 67,437,898,451.34/271,043.80
  6. Step 6: Final answer
    x = 248,808.12

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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.