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Finding the Fourth Proportional to 254,878, 351,212.94 and 197,166.76

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Solution

The fourth proportional to 254,878, 351,212.94 and 197,166.76 is: 271,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,878 : 351,212.94 = 197,166.76 : x
  2. Step 2: Convert to fraction form
    254,878/351,212.94 = 197,166.76/x
  3. Step 3: Cross multiply
    254,878x = 351,212.94 × 197,166.76
  4. Step 4: Simplify right side
    254,878x = 69,247,517,449.87
  5. Step 5: Solve for x
    x = 69,247,517,449.87/254,878
  6. Step 6: Final answer
    x = 271,688.88

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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.