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Finding the Fourth Proportional to 299,188.58, 412,872.03 and 163,222.49

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Solution

The fourth proportional to 299,188.58, 412,872.03 and 163,222.49 is: 225,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,188.58 : 412,872.03 = 163,222.49 : x
  2. Step 2: Convert to fraction form
    299,188.58/412,872.03 = 163,222.49/x
  3. Step 3: Cross multiply
    299,188.58x = 412,872.03 × 163,222.49
  4. Step 4: Simplify right side
    299,188.58x = 67,390,001,820.13
  5. Step 5: Solve for x
    x = 67,390,001,820.13/299,188.58
  6. Step 6: Final answer
    x = 225,242.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.