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Finding the Fourth Proportional to 227,893.76, 314,314.08 and 212,615

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Solution

The fourth proportional to 227,893.76, 314,314.08 and 212,615 is: 293,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,893.76 : 314,314.08 = 212,615 : x
  2. Step 2: Convert to fraction form
    227,893.76/314,314.08 = 212,615/x
  3. Step 3: Cross multiply
    227,893.76x = 314,314.08 × 212,615
  4. Step 4: Simplify right side
    227,893.76x = 66,827,888,119.20
  5. Step 5: Solve for x
    x = 66,827,888,119.20/227,893.76
  6. Step 6: Final answer
    x = 293,241.41

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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.