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Finding the Fourth Proportional to 320,415.92, 480,341.01 and 120,876.43

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Solution

The fourth proportional to 320,415.92, 480,341.01 and 120,876.43 is: 181,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,415.92 : 480,341.01 = 120,876.43 : x
  2. Step 2: Convert to fraction form
    320,415.92/480,341.01 = 120,876.43/x
  3. Step 3: Cross multiply
    320,415.92x = 480,341.01 × 120,876.43
  4. Step 4: Simplify right side
    320,415.92x = 58,061,906,471.39
  5. Step 5: Solve for x
    x = 58,061,906,471.39/320,415.92
  6. Step 6: Final answer
    x = 181,207.93

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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.