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Finding the Fourth Proportional to 299,212.50, 412,898.82 and 163,238.34

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Solution

The fourth proportional to 299,212.50, 412,898.82 and 163,238.34 is: 225,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,212.50 : 412,898.82 = 163,238.34 : x
  2. Step 2: Convert to fraction form
    299,212.50/412,898.82 = 163,238.34/x
  3. Step 3: Cross multiply
    299,212.50x = 412,898.82 × 163,238.34
  4. Step 4: Simplify right side
    299,212.50x = 67,400,917,964.76
  5. Step 5: Solve for x
    x = 67,400,917,964.76/299,212.50
  6. Step 6: Final answer
    x = 225,261.04

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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.