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Finding the Fourth Proportional to 401,137.72, 601,723.22 and 330,886.20

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Solution

The fourth proportional to 401,137.72, 601,723.22 and 330,886.20 is: 496,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,137.72 : 601,723.22 = 330,886.20 : x
  2. Step 2: Convert to fraction form
    401,137.72/601,723.22 = 330,886.20/x
  3. Step 3: Cross multiply
    401,137.72x = 601,723.22 × 330,886.20
  4. Step 4: Simplify right side
    401,137.72x = 199,101,909,717.56
  5. Step 5: Solve for x
    x = 199,101,909,717.56/401,137.72
  6. Step 6: Final answer
    x = 496,343.03

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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.