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Finding the Fourth Proportional to 379,471.84, 523,726.16 and 226,516.50

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Solution

The fourth proportional to 379,471.84, 523,726.16 and 226,516.50 is: 312,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,471.84 : 523,726.16 = 226,516.50 : x
  2. Step 2: Convert to fraction form
    379,471.84/523,726.16 = 226,516.50/x
  3. Step 3: Cross multiply
    379,471.84x = 523,726.16 × 226,516.50
  4. Step 4: Simplify right side
    379,471.84x = 118,632,615,589.06
  5. Step 5: Solve for x
    x = 118,632,615,589.06/379,471.84
  6. Step 6: Final answer
    x = 312,625.61

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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.