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Finding the Fourth Proportional to 299,318.90, 413,063.55 and 178,528.86

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Solution

The fourth proportional to 299,318.90, 413,063.55 and 178,528.86 is: 246,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,318.90 : 413,063.55 = 178,528.86 : x
  2. Step 2: Convert to fraction form
    299,318.90/413,063.55 = 178,528.86/x
  3. Step 3: Cross multiply
    299,318.90x = 413,063.55 × 178,528.86
  4. Step 4: Simplify right side
    299,318.90x = 73,743,764,689.05
  5. Step 5: Solve for x
    x = 73,743,764,689.05/299,318.90
  6. Step 6: Final answer
    x = 246,371.90

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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.