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Finding the Fourth Proportional to 401,231.04, 601,691.04 and 214,140.48

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Solution

The fourth proportional to 401,231.04, 601,691.04 and 214,140.48 is: 321,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,231.04 : 601,691.04 = 214,140.48 : x
  2. Step 2: Convert to fraction form
    401,231.04/601,691.04 = 214,140.48/x
  3. Step 3: Cross multiply
    401,231.04x = 601,691.04 × 214,140.48
  4. Step 4: Simplify right side
    401,231.04x = 128,846,408,117.30
  5. Step 5: Solve for x
    x = 128,846,408,117.30/401,231.04
  6. Step 6: Final answer
    x = 321,127.72

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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.