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Finding the Fourth Proportional to 380,479.14, 523,866.22 and 322,999.31

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Solution

The fourth proportional to 380,479.14, 523,866.22 and 322,999.31 is: 444,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,479.14 : 523,866.22 = 322,999.31 : x
  2. Step 2: Convert to fraction form
    380,479.14/523,866.22 = 322,999.31/x
  3. Step 3: Cross multiply
    380,479.14x = 523,866.22 × 322,999.31
  4. Step 4: Simplify right side
    380,479.14x = 169,208,428,094.48
  5. Step 5: Solve for x
    x = 169,208,428,094.48/380,479.14
  6. Step 6: Final answer
    x = 444,724.59

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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.