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Finding the Fourth Proportional to 299,139.72, 412,820.60 and 163,175.96

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Solution

The fourth proportional to 299,139.72, 412,820.60 and 163,175.96 is: 225,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139.72 : 412,820.60 = 163,175.96 : x
  2. Step 2: Convert to fraction form
    299,139.72/412,820.60 = 163,175.96/x
  3. Step 3: Cross multiply
    299,139.72x = 412,820.60 × 163,175.96
  4. Step 4: Simplify right side
    299,139.72x = 67,362,397,712.78
  5. Step 5: Solve for x
    x = 67,362,397,712.78/299,139.72
  6. Step 6: Final answer
    x = 225,187.07

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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.