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Finding the Fourth Proportional to 242,708.76, 334,175.85 and 206,338.64

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Solution

The fourth proportional to 242,708.76, 334,175.85 and 206,338.64 is: 284,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,708.76 : 334,175.85 = 206,338.64 : x
  2. Step 2: Convert to fraction form
    242,708.76/334,175.85 = 206,338.64/x
  3. Step 3: Cross multiply
    242,708.76x = 334,175.85 × 206,338.64
  4. Step 4: Simplify right side
    242,708.76x = 68,953,388,738.96
  5. Step 5: Solve for x
    x = 68,953,388,738.96/242,708.76
  6. Step 6: Final answer
    x = 284,099.30

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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.