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Finding the Fourth Proportional to 270,687.16, 406,028.50 and 211,572.52

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Solution

The fourth proportional to 270,687.16, 406,028.50 and 211,572.52 is: 317,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,687.16 : 406,028.50 = 211,572.52 : x
  2. Step 2: Convert to fraction form
    270,687.16/406,028.50 = 211,572.52/x
  3. Step 3: Cross multiply
    270,687.16x = 406,028.50 × 211,572.52
  4. Step 4: Simplify right side
    270,687.16x = 85,904,472,936.82
  5. Step 5: Solve for x
    x = 85,904,472,936.82/270,687.16
  6. Step 6: Final answer
    x = 317,357.03

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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.