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Finding the Fourth Proportional to 271,906.56, 407,733 and 103,458.24

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Solution

The fourth proportional to 271,906.56, 407,733 and 103,458.24 is: 155,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,906.56 : 407,733 = 103,458.24 : x
  2. Step 2: Convert to fraction form
    271,906.56/407,733 = 103,458.24/x
  3. Step 3: Cross multiply
    271,906.56x = 407,733 × 103,458.24
  4. Step 4: Simplify right side
    271,906.56x = 42,183,338,569.92
  5. Step 5: Solve for x
    x = 42,183,338,569.92/271,906.56
  6. Step 6: Final answer
    x = 155,139.10

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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.