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Finding the Fourth Proportional to 299,112.81, 412,765.61 and 178,191.47

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Solution

The fourth proportional to 299,112.81, 412,765.61 and 178,191.47 is: 245,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,112.81 : 412,765.61 = 178,191.47 : x
  2. Step 2: Convert to fraction form
    299,112.81/412,765.61 = 178,191.47/x
  3. Step 3: Cross multiply
    299,112.81x = 412,765.61 × 178,191.47
  4. Step 4: Simplify right side
    299,112.81x = 73,551,307,856.56
  5. Step 5: Solve for x
    x = 73,551,307,856.56/299,112.81
  6. Step 6: Final answer
    x = 245,898.22

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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.