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Finding the Fourth Proportional to 320,381.83, 480,572.75 and 120,747.00

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Solution

The fourth proportional to 320,381.83, 480,572.75 and 120,747.00 is: 181,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,381.83 : 480,572.75 = 120,747.00 : x
  2. Step 2: Convert to fraction form
    320,381.83/480,572.75 = 120,747.00/x
  3. Step 3: Cross multiply
    320,381.83x = 480,572.75 × 120,747.00
  4. Step 4: Simplify right side
    320,381.83x = 58,027,719,269.06
  5. Step 5: Solve for x
    x = 58,027,719,269.06/320,381.83
  6. Step 6: Final answer
    x = 181,120.51

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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.