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Finding the Fourth Proportional to 299,705.70, 447,372.31 and 261,871.28

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Solution

The fourth proportional to 299,705.70, 447,372.31 and 261,871.28 is: 390,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,705.70 : 447,372.31 = 261,871.28 : x
  2. Step 2: Convert to fraction form
    299,705.70/447,372.31 = 261,871.28/x
  3. Step 3: Cross multiply
    299,705.70x = 447,372.31 × 261,871.28
  4. Step 4: Simplify right side
    299,705.70x = 117,153,959,456.26
  5. Step 5: Solve for x
    x = 117,153,959,456.26/299,705.70
  6. Step 6: Final answer
    x = 390,896.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.