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Finding the Fourth Proportional to 420,863.26, 631,546.42 and 154,650.69

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Solution

The fourth proportional to 420,863.26, 631,546.42 and 154,650.69 is: 232,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,863.26 : 631,546.42 = 154,650.69 : x
  2. Step 2: Convert to fraction form
    420,863.26/631,546.42 = 154,650.69/x
  3. Step 3: Cross multiply
    420,863.26x = 631,546.42 × 154,650.69
  4. Step 4: Simplify right side
    420,863.26x = 97,669,089,620.03
  5. Step 5: Solve for x
    x = 97,669,089,620.03/420,863.26
  6. Step 6: Final answer
    x = 232,068.46

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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.