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Finding the Fourth Proportional to 299,219.72, 412,976.63 and 178,368.71

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Solution

The fourth proportional to 299,219.72, 412,976.63 and 178,368.71 is: 246,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,219.72 : 412,976.63 = 178,368.71 : x
  2. Step 2: Convert to fraction form
    299,219.72/412,976.63 = 178,368.71/x
  3. Step 3: Cross multiply
    299,219.72x = 412,976.63 × 178,368.71
  4. Step 4: Simplify right side
    299,219.72x = 73,662,107,861.40
  5. Step 5: Solve for x
    x = 73,662,107,861.40/299,219.72
  6. Step 6: Final answer
    x = 246,180.66

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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.