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Finding the Fourth Proportional to 270,980.19, 406,491.32 and 81,425.76

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Solution

The fourth proportional to 270,980.19, 406,491.32 and 81,425.76 is: 122,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,980.19 : 406,491.32 = 81,425.76 : x
  2. Step 2: Convert to fraction form
    270,980.19/406,491.32 = 81,425.76/x
  3. Step 3: Cross multiply
    270,980.19x = 406,491.32 × 81,425.76
  4. Step 4: Simplify right side
    270,980.19x = 33,098,864,257.27
  5. Step 5: Solve for x
    x = 33,098,864,257.27/270,980.19
  6. Step 6: Final answer
    x = 122,144.96

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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.