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Finding the Fourth Proportional to 299,152.89, 412,838.75 and 163,189.13

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Solution

The fourth proportional to 299,152.89, 412,838.75 and 163,189.13 is: 225,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,152.89 : 412,838.75 = 163,189.13 : x
  2. Step 2: Convert to fraction form
    299,152.89/412,838.75 = 163,189.13/x
  3. Step 3: Cross multiply
    299,152.89x = 412,838.75 × 163,189.13
  4. Step 4: Simplify right side
    299,152.89x = 67,370,794,786.57
  5. Step 5: Solve for x
    x = 67,370,794,786.57/299,152.89
  6. Step 6: Final answer
    x = 225,205.23

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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.