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Finding the Fourth Proportional to 284,253.91, 426,603.60 and 198,305.83

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Solution

The fourth proportional to 284,253.91, 426,603.60 and 198,305.83 is: 297,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,253.91 : 426,603.60 = 198,305.83 : x
  2. Step 2: Convert to fraction form
    284,253.91/426,603.60 = 198,305.83/x
  3. Step 3: Cross multiply
    284,253.91x = 426,603.60 × 198,305.83
  4. Step 4: Simplify right side
    284,253.91x = 84,597,980,978.99
  5. Step 5: Solve for x
    x = 84,597,980,978.99/284,253.91
  6. Step 6: Final answer
    x = 297,614.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.