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Finding the Fourth Proportional to 311,718.77, 430,163.27 and 175,751.51

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Solution

The fourth proportional to 311,718.77, 430,163.27 and 175,751.51 is: 242,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,718.77 : 430,163.27 = 175,751.51 : x
  2. Step 2: Convert to fraction form
    311,718.77/430,163.27 = 175,751.51/x
  3. Step 3: Cross multiply
    311,718.77x = 430,163.27 × 175,751.51
  4. Step 4: Simplify right side
    311,718.77x = 75,601,845,286.80
  5. Step 5: Solve for x
    x = 75,601,845,286.80/311,718.77
  6. Step 6: Final answer
    x = 242,532.22

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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.