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Finding the Fourth Proportional to 299,122.82, 412,790.78 and 163,159.68

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Solution

The fourth proportional to 299,122.82, 412,790.78 and 163,159.68 is: 225,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,122.82 : 412,790.78 = 163,159.68 : x
  2. Step 2: Convert to fraction form
    299,122.82/412,790.78 = 163,159.68/x
  3. Step 3: Cross multiply
    299,122.82x = 412,790.78 × 163,159.68
  4. Step 4: Simplify right side
    299,122.82x = 67,350,813,527.62
  5. Step 5: Solve for x
    x = 67,350,813,527.62/299,122.82
  6. Step 6: Final answer
    x = 225,161.07

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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.