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Finding the Fourth Proportional to 284,211.59, 392,249.39 and 198,114.86

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Solution

The fourth proportional to 284,211.59, 392,249.39 and 198,114.86 is: 273,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,211.59 : 392,249.39 = 198,114.86 : x
  2. Step 2: Convert to fraction form
    284,211.59/392,249.39 = 198,114.86/x
  3. Step 3: Cross multiply
    284,211.59x = 392,249.39 × 198,114.86
  4. Step 4: Simplify right side
    284,211.59x = 77,710,432,974.98
  5. Step 5: Solve for x
    x = 77,710,432,974.98/284,211.59
  6. Step 6: Final answer
    x = 273,424.58

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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.