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Finding the Fourth Proportional to 299,208.51, 412,893.31 and 163,234.35

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Solution

The fourth proportional to 299,208.51, 412,893.31 and 163,234.35 is: 225,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,208.51 : 412,893.31 = 163,234.35 : x
  2. Step 2: Convert to fraction form
    299,208.51/412,893.31 = 163,234.35/x
  3. Step 3: Cross multiply
    299,208.51x = 412,893.31 × 163,234.35
  4. Step 4: Simplify right side
    299,208.51x = 67,398,371,077.20
  5. Step 5: Solve for x
    x = 67,398,371,077.20/299,208.51
  6. Step 6: Final answer
    x = 225,255.53

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1.5x scale

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.