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Finding the Fourth Proportional to 442,505.70, 663,754.23 and 126,964.26

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Solution

The fourth proportional to 442,505.70, 663,754.23 and 126,964.26 is: 190,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,505.70 : 663,754.23 = 126,964.26 : x
  2. Step 2: Convert to fraction form
    442,505.70/663,754.23 = 126,964.26/x
  3. Step 3: Cross multiply
    442,505.70x = 663,754.23 × 126,964.26
  4. Step 4: Simplify right side
    442,505.70x = 84,273,064,633.82
  5. Step 5: Solve for x
    x = 84,273,064,633.82/442,505.70
  6. Step 6: Final answer
    x = 190,445.15

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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.