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Finding the Fourth Proportional to 271,904.30, 407,856.45 and 208,845.80

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Solution

The fourth proportional to 271,904.30, 407,856.45 and 208,845.80 is: 313,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,904.30 : 407,856.45 = 208,845.80 : x
  2. Step 2: Convert to fraction form
    271,904.30/407,856.45 = 208,845.80/x
  3. Step 3: Cross multiply
    271,904.30x = 407,856.45 × 208,845.80
  4. Step 4: Simplify right side
    271,904.30x = 85,179,106,585.41
  5. Step 5: Solve for x
    x = 85,179,106,585.41/271,904.30
  6. Step 6: Final answer
    x = 313,268.70

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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.