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Finding the Fourth Proportional to 307,090.57, 423,876.24 and 193,988.65

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Solution

The fourth proportional to 307,090.57, 423,876.24 and 193,988.65 is: 267,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,090.57 : 423,876.24 = 193,988.65 : x
  2. Step 2: Convert to fraction form
    307,090.57/423,876.24 = 193,988.65/x
  3. Step 3: Cross multiply
    307,090.57x = 423,876.24 × 193,988.65
  4. Step 4: Simplify right side
    307,090.57x = 82,227,179,564.68
  5. Step 5: Solve for x
    x = 82,227,179,564.68/307,090.57
  6. Step 6: Final answer
    x = 267,761.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.