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Finding the Fourth Proportional to 320,414.42, 480,338.76 and 120,874.93

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Solution

The fourth proportional to 320,414.42, 480,338.76 and 120,874.93 is: 181,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,414.42 : 480,338.76 = 120,874.93 : x
  2. Step 2: Convert to fraction form
    320,414.42/480,338.76 = 120,874.93/x
  3. Step 3: Cross multiply
    320,414.42x = 480,338.76 × 120,874.93
  4. Step 4: Simplify right side
    320,414.42x = 58,060,913,991.29
  5. Step 5: Solve for x
    x = 58,060,913,991.29/320,414.42
  6. Step 6: Final answer
    x = 181,205.68

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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.