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Finding the Fourth Proportional to 284,274.38, 392,143.38 and 198,096.86

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Solution

The fourth proportional to 284,274.38, 392,143.38 and 198,096.86 is: 273,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,274.38 : 392,143.38 = 198,096.86 : x
  2. Step 2: Convert to fraction form
    284,274.38/392,143.38 = 198,096.86/x
  3. Step 3: Cross multiply
    284,274.38x = 392,143.38 × 198,096.86
  4. Step 4: Simplify right side
    284,274.38x = 77,682,372,247.79
  5. Step 5: Solve for x
    x = 77,682,372,247.79/284,274.38
  6. Step 6: Final answer
    x = 273,265.47

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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.