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Finding the Fourth Proportional to 271,815.60, 407,723.40 and 254,319.60

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Solution

The fourth proportional to 271,815.60, 407,723.40 and 254,319.60 is: 381,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,815.60 : 407,723.40 = 254,319.60 : x
  2. Step 2: Convert to fraction form
    271,815.60/407,723.40 = 254,319.60/x
  3. Step 3: Cross multiply
    271,815.60x = 407,723.40 × 254,319.60
  4. Step 4: Simplify right side
    271,815.60x = 103,692,051,998.64
  5. Step 5: Solve for x
    x = 103,692,051,998.64/271,815.60
  6. Step 6: Final answer
    x = 381,479.40

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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.