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Finding the Fourth Proportional to 299,179.20, 412,859.32 and 163,213.40

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Solution

The fourth proportional to 299,179.20, 412,859.32 and 163,213.40 is: 225,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,179.20 : 412,859.32 = 163,213.40 : x
  2. Step 2: Convert to fraction form
    299,179.20/412,859.32 = 163,213.40/x
  3. Step 3: Cross multiply
    299,179.20x = 412,859.32 × 163,213.40
  4. Step 4: Simplify right side
    299,179.20x = 67,384,173,338.89
  5. Step 5: Solve for x
    x = 67,384,173,338.89/299,179.20
  6. Step 6: Final answer
    x = 225,230.14

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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.