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Finding the Fourth Proportional to 287,249.84, 430,471.45 and 227,013.48

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Solution

The fourth proportional to 287,249.84, 430,471.45 and 227,013.48 is: 340,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,249.84 : 430,471.45 = 227,013.48 : x
  2. Step 2: Convert to fraction form
    287,249.84/430,471.45 = 227,013.48/x
  3. Step 3: Cross multiply
    287,249.84x = 430,471.45 × 227,013.48
  4. Step 4: Simplify right side
    287,249.84x = 97,722,822,472.68
  5. Step 5: Solve for x
    x = 97,722,822,472.68/287,249.84
  6. Step 6: Final answer
    x = 340,201.49

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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.