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Finding the Fourth Proportional to 299,706, 413,602.32 and 163,745.68

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Solution

The fourth proportional to 299,706, 413,602.32 and 163,745.68 is: 225,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,706 : 413,602.32 = 163,745.68 : x
  2. Step 2: Convert to fraction form
    299,706/413,602.32 = 163,745.68/x
  3. Step 3: Cross multiply
    299,706x = 413,602.32 × 163,745.68
  4. Step 4: Simplify right side
    299,706x = 67,725,593,137.98
  5. Step 5: Solve for x
    x = 67,725,593,137.98/299,706
  6. Step 6: Final answer
    x = 225,973.43

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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.