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Finding the Fourth Proportional to 401,231.88, 601,906.14 and 214,141.32

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Solution

The fourth proportional to 401,231.88, 601,906.14 and 214,141.32 is: 321,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,231.88 : 601,906.14 = 214,141.32 : x
  2. Step 2: Convert to fraction form
    401,231.88/601,906.14 = 214,141.32/x
  3. Step 3: Cross multiply
    401,231.88x = 601,906.14 × 214,141.32
  4. Step 4: Simplify right side
    401,231.88x = 128,892,975,335.71
  5. Step 5: Solve for x
    x = 128,892,975,335.71/401,231.88
  6. Step 6: Final answer
    x = 321,243.11

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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.