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Finding the Fourth Proportional to 422,802.72, 634,136.57 and 123,213.22

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Solution

The fourth proportional to 422,802.72, 634,136.57 and 123,213.22 is: 184,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,802.72 : 634,136.57 = 123,213.22 : x
  2. Step 2: Convert to fraction form
    422,802.72/634,136.57 = 123,213.22/x
  3. Step 3: Cross multiply
    422,802.72x = 634,136.57 × 123,213.22
  4. Step 4: Simplify right side
    422,802.72x = 78,134,008,709.46
  5. Step 5: Solve for x
    x = 78,134,008,709.46/422,802.72
  6. Step 6: Final answer
    x = 184,800.16

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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.