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Finding the Fourth Proportional to 431,221.29, 646,116.87 and 262,230.44

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Solution

The fourth proportional to 431,221.29, 646,116.87 and 262,230.44 is: 392,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,221.29 : 646,116.87 = 262,230.44 : x
  2. Step 2: Convert to fraction form
    431,221.29/646,116.87 = 262,230.44/x
  3. Step 3: Cross multiply
    431,221.29x = 646,116.87 × 262,230.44
  4. Step 4: Simplify right side
    431,221.29x = 169,431,507,225.36
  5. Step 5: Solve for x
    x = 169,431,507,225.36/431,221.29
  6. Step 6: Final answer
    x = 392,910.81

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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.