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Finding the Fourth Proportional to 271,856.80, 406,978.80 and 202,045.60

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Solution

The fourth proportional to 271,856.80, 406,978.80 and 202,045.60 is: 302,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,856.80 : 406,978.80 = 202,045.60 : x
  2. Step 2: Convert to fraction form
    271,856.80/406,978.80 = 202,045.60/x
  3. Step 3: Cross multiply
    271,856.80x = 406,978.80 × 202,045.60
  4. Step 4: Simplify right side
    271,856.80x = 82,228,275,833.28
  5. Step 5: Solve for x
    x = 82,228,275,833.28/271,856.80
  6. Step 6: Final answer
    x = 302,469.08

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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.