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Finding the Fourth Proportional to 284,645.64, 427,042.38 and 84,966.06

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Solution

The fourth proportional to 284,645.64, 427,042.38 and 84,966.06 is: 127,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,645.64 : 427,042.38 = 84,966.06 : x
  2. Step 2: Convert to fraction form
    284,645.64/427,042.38 = 84,966.06/x
  3. Step 3: Cross multiply
    284,645.64x = 427,042.38 × 84,966.06
  4. Step 4: Simplify right side
    284,645.64x = 36,284,108,481.62
  5. Step 5: Solve for x
    x = 36,284,108,481.62/284,645.64
  6. Step 6: Final answer
    x = 127,471.15

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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.