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Finding the Fourth Proportional to 284,662.72, 427,068.18 and 84,983.20

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Solution

The fourth proportional to 284,662.72, 427,068.18 and 84,983.20 is: 127,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,662.72 : 427,068.18 = 84,983.20 : x
  2. Step 2: Convert to fraction form
    284,662.72/427,068.18 = 84,983.20/x
  3. Step 3: Cross multiply
    284,662.72x = 427,068.18 × 84,983.20
  4. Step 4: Simplify right side
    284,662.72x = 36,293,620,554.58
  5. Step 5: Solve for x
    x = 36,293,620,554.58/284,662.72
  6. Step 6: Final answer
    x = 127,496.92

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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.