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Finding the Fourth Proportional to 271,045.80, 406,406.70 and 165,940.20

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Solution

The fourth proportional to 271,045.80, 406,406.70 and 165,940.20 is: 248,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,045.80 : 406,406.70 = 165,940.20 : x
  2. Step 2: Convert to fraction form
    271,045.80/406,406.70 = 165,940.20/x
  3. Step 3: Cross multiply
    271,045.80x = 406,406.70 × 165,940.20
  4. Step 4: Simplify right side
    271,045.80x = 67,439,209,079.34
  5. Step 5: Solve for x
    x = 67,439,209,079.34/271,045.80
  6. Step 6: Final answer
    x = 248,811.12

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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.