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Finding the Fourth Proportional to 299,100.06, 412,748.01 and 178,178.72

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Solution

The fourth proportional to 299,100.06, 412,748.01 and 178,178.72 is: 245,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,100.06 : 412,748.01 = 178,178.72 : x
  2. Step 2: Convert to fraction form
    299,100.06/412,748.01 = 178,178.72/x
  3. Step 3: Cross multiply
    299,100.06x = 412,748.01 × 178,178.72
  4. Step 4: Simplify right side
    299,100.06x = 73,542,910,040.61
  5. Step 5: Solve for x
    x = 73,542,910,040.61/299,100.06
  6. Step 6: Final answer
    x = 245,880.63

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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.