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Finding the Fourth Proportional to 320,077.06, 480,187.04 and 120,399.10

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Solution

The fourth proportional to 320,077.06, 480,187.04 and 120,399.10 is: 180,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,077.06 : 480,187.04 = 120,399.10 : x
  2. Step 2: Convert to fraction form
    320,077.06/480,187.04 = 120,399.10/x
  3. Step 3: Cross multiply
    320,077.06x = 480,187.04 × 120,399.10
  4. Step 4: Simplify right side
    320,077.06x = 57,814,087,447.66
  5. Step 5: Solve for x
    x = 57,814,087,447.66/320,077.06
  6. Step 6: Final answer
    x = 180,625.53

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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.