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Finding the Fourth Proportional to 275,426.34, 380,434.80 and 227,203.02

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Solution

The fourth proportional to 275,426.34, 380,434.80 and 227,203.02 is: 313,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,426.34 : 380,434.80 = 227,203.02 : x
  2. Step 2: Convert to fraction form
    275,426.34/380,434.80 = 227,203.02/x
  3. Step 3: Cross multiply
    275,426.34x = 380,434.80 × 227,203.02
  4. Step 4: Simplify right side
    275,426.34x = 86,435,935,473.10
  5. Step 5: Solve for x
    x = 86,435,935,473.10/275,426.34
  6. Step 6: Final answer
    x = 313,825.96

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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.