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Finding the Fourth Proportional to 299,149.48, 412,818.73 and 163,186.53

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Solution

The fourth proportional to 299,149.48, 412,818.73 and 163,186.53 is: 225,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149.48 : 412,818.73 = 163,186.53 : x
  2. Step 2: Convert to fraction form
    299,149.48/412,818.73 = 163,186.53/x
  3. Step 3: Cross multiply
    299,149.48x = 412,818.73 × 163,186.53
  4. Step 4: Simplify right side
    299,149.48x = 67,366,456,067.71
  5. Step 5: Solve for x
    x = 67,366,456,067.71/299,149.48
  6. Step 6: Final answer
    x = 225,193.29

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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.