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Finding the Fourth Proportional to 422,457.48, 633,679.20 and 102,611.97

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Solution

The fourth proportional to 422,457.48, 633,679.20 and 102,611.97 is: 153,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,457.48 : 633,679.20 = 102,611.97 : x
  2. Step 2: Convert to fraction form
    422,457.48/633,679.20 = 102,611.97/x
  3. Step 3: Cross multiply
    422,457.48x = 633,679.20 × 102,611.97
  4. Step 4: Simplify right side
    422,457.48x = 65,023,071,060.02
  5. Step 5: Solve for x
    x = 65,023,071,060.02/422,457.48
  6. Step 6: Final answer
    x = 153,916.25

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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.