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Finding the Fourth Proportional to 380,477.89, 523,864.46 and 322,998.06

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Solution

The fourth proportional to 380,477.89, 523,864.46 and 322,998.06 is: 444,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,477.89 : 523,864.46 = 322,998.06 : x
  2. Step 2: Convert to fraction form
    380,477.89/523,864.46 = 322,998.06/x
  3. Step 3: Cross multiply
    380,477.89x = 523,864.46 × 322,998.06
  4. Step 4: Simplify right side
    380,477.89x = 169,207,204,282.95
  5. Step 5: Solve for x
    x = 169,207,204,282.95/380,477.89
  6. Step 6: Final answer
    x = 444,722.83

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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.