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Finding the Fourth Proportional to 296,976, 409,846.44 and 162,840

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Solution

The fourth proportional to 296,976, 409,846.44 and 162,840 is: 224,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,976 : 409,846.44 = 162,840 : x
  2. Step 2: Convert to fraction form
    296,976/409,846.44 = 162,840/x
  3. Step 3: Cross multiply
    296,976x = 409,846.44 × 162,840
  4. Step 4: Simplify right side
    296,976x = 66,739,394,289.60
  5. Step 5: Solve for x
    x = 66,739,394,289.60/296,976
  6. Step 6: Final answer
    x = 224,729.93

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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.