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Finding the Fourth Proportional to 320,461.39, 480,691.47 and 120,826.56

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Solution

The fourth proportional to 320,461.39, 480,691.47 and 120,826.56 is: 181,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,461.39 : 480,691.47 = 120,826.56 : x
  2. Step 2: Convert to fraction form
    320,461.39/480,691.47 = 120,826.56/x
  3. Step 3: Cross multiply
    320,461.39x = 480,691.47 × 120,826.56
  4. Step 4: Simplify right side
    320,461.39x = 58,080,296,741.44
  5. Step 5: Solve for x
    x = 58,080,296,741.44/320,461.39
  6. Step 6: Final answer
    x = 181,239.61

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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.