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Finding the Fourth Proportional to 189,634.20, 284,490.90 and 63,269.40

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Solution

The fourth proportional to 189,634.20, 284,490.90 and 63,269.40 is: 94,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,634.20 : 284,490.90 = 63,269.40 : x
  2. Step 2: Convert to fraction form
    189,634.20/284,490.90 = 63,269.40/x
  3. Step 3: Cross multiply
    189,634.20x = 284,490.90 × 63,269.40
  4. Step 4: Simplify right side
    189,634.20x = 17,999,568,548.46
  5. Step 5: Solve for x
    x = 17,999,568,548.46/189,634.20
  6. Step 6: Final answer
    x = 94,917.31

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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.