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Finding the Fourth Proportional to 589,172.37, 813,127.22 and 331,049.86

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Solution

The fourth proportional to 589,172.37, 813,127.22 and 331,049.86 is: 456,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,172.37 : 813,127.22 = 331,049.86 : x
  2. Step 2: Convert to fraction form
    589,172.37/813,127.22 = 331,049.86/x
  3. Step 3: Cross multiply
    589,172.37x = 813,127.22 × 331,049.86
  4. Step 4: Simplify right side
    589,172.37x = 269,185,650,687.94
  5. Step 5: Solve for x
    x = 269,185,650,687.94/589,172.37
  6. Step 6: Final answer
    x = 456,887.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.