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Finding the Fourth Proportional to 284,631.63, 427,021.38 and 84,952.01

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Solution

The fourth proportional to 284,631.63, 427,021.38 and 84,952.01 is: 127,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,631.63 : 427,021.38 = 84,952.01 : x
  2. Step 2: Convert to fraction form
    284,631.63/427,021.38 = 84,952.01/x
  3. Step 3: Cross multiply
    284,631.63x = 427,021.38 × 84,952.01
  4. Step 4: Simplify right side
    284,631.63x = 36,276,322,408.87
  5. Step 5: Solve for x
    x = 36,276,322,408.87/284,631.63
  6. Step 6: Final answer
    x = 127,450.07

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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.