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Finding the Fourth Proportional to 311,956.05, 430,552.28 and 176,028.53

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Solution

The fourth proportional to 311,956.05, 430,552.28 and 176,028.53 is: 242,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956.05 : 430,552.28 = 176,028.53 : x
  2. Step 2: Convert to fraction form
    311,956.05/430,552.28 = 176,028.53/x
  3. Step 3: Cross multiply
    311,956.05x = 430,552.28 × 176,028.53
  4. Step 4: Simplify right side
    311,956.05x = 75,789,486,453.00
  5. Step 5: Solve for x
    x = 75,789,486,453.00/311,956.05
  6. Step 6: Final answer
    x = 242,949.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.