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Finding the Fourth Proportional to 271,672.78, 406,746.15 and 220,769.14

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Solution

The fourth proportional to 271,672.78, 406,746.15 and 220,769.14 is: 330,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,672.78 : 406,746.15 = 220,769.14 : x
  2. Step 2: Convert to fraction form
    271,672.78/406,746.15 = 220,769.14/x
  3. Step 3: Cross multiply
    271,672.78x = 406,746.15 × 220,769.14
  4. Step 4: Simplify right side
    271,672.78x = 89,796,997,733.81
  5. Step 5: Solve for x
    x = 89,796,997,733.81/271,672.78
  6. Step 6: Final answer
    x = 330,533.66

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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.