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Finding the Fourth Proportional to 320,448, 480,754.08 and 120,770.04

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Solution

The fourth proportional to 320,448, 480,754.08 and 120,770.04 is: 181,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,448 : 480,754.08 = 120,770.04 : x
  2. Step 2: Convert to fraction form
    320,448/480,754.08 = 120,770.04/x
  3. Step 3: Cross multiply
    320,448x = 480,754.08 × 120,770.04
  4. Step 4: Simplify right side
    320,448x = 58,060,689,471.76
  5. Step 5: Solve for x
    x = 58,060,689,471.76/320,448
  6. Step 6: Final answer
    x = 181,185.99

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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.