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Finding the Fourth Proportional to 284,489.82, 426,738.24 and 84,816.72

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Solution

The fourth proportional to 284,489.82, 426,738.24 and 84,816.72 is: 127,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,489.82 : 426,738.24 = 84,816.72 : x
  2. Step 2: Convert to fraction form
    284,489.82/426,738.24 = 84,816.72/x
  3. Step 3: Cross multiply
    284,489.82x = 426,738.24 × 84,816.72
  4. Step 4: Simplify right side
    284,489.82x = 36,194,537,815.37
  5. Step 5: Solve for x
    x = 36,194,537,815.37/284,489.82
  6. Step 6: Final answer
    x = 127,226.13

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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.