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Finding the Fourth Proportional to 270,983.19, 406,495.82 and 81,428.76

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Solution

The fourth proportional to 270,983.19, 406,495.82 and 81,428.76 is: 122,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,983.19 : 406,495.82 = 81,428.76 : x
  2. Step 2: Convert to fraction form
    270,983.19/406,495.82 = 81,428.76/x
  3. Step 3: Cross multiply
    270,983.19x = 406,495.82 × 81,428.76
  4. Step 4: Simplify right side
    270,983.19x = 33,100,450,160.64
  5. Step 5: Solve for x
    x = 33,100,450,160.64/270,983.19
  6. Step 6: Final answer
    x = 122,149.46

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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.