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Finding the Fourth Proportional to 284,195.79, 426,443.13 and 115,840.53

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Solution

The fourth proportional to 284,195.79, 426,443.13 and 115,840.53 is: 173,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,195.79 : 426,443.13 = 115,840.53 : x
  2. Step 2: Convert to fraction form
    284,195.79/426,443.13 = 115,840.53/x
  3. Step 3: Cross multiply
    284,195.79x = 426,443.13 × 115,840.53
  4. Step 4: Simplify right side
    284,195.79x = 49,399,398,194.06
  5. Step 5: Solve for x
    x = 49,399,398,194.06/284,195.79
  6. Step 6: Final answer
    x = 173,821.71

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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.