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Finding the Fourth Proportional to 298,704.17, 447,709.57 and 120,990.17

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Solution

The fourth proportional to 298,704.17, 447,709.57 and 120,990.17 is: 181,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,704.17 : 447,709.57 = 120,990.17 : x
  2. Step 2: Convert to fraction form
    298,704.17/447,709.57 = 120,990.17/x
  3. Step 3: Cross multiply
    298,704.17x = 447,709.57 × 120,990.17
  4. Step 4: Simplify right side
    298,704.17x = 54,168,454,443.90
  5. Step 5: Solve for x
    x = 54,168,454,443.90/298,704.17
  6. Step 6: Final answer
    x = 181,344.82

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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.