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Finding the Fourth Proportional to 257,181.01, 385,630.81 and 204,213.22

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Solution

The fourth proportional to 257,181.01, 385,630.81 and 204,213.22 is: 306,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,181.01 : 385,630.81 = 204,213.22 : x
  2. Step 2: Convert to fraction form
    257,181.01/385,630.81 = 204,213.22/x
  3. Step 3: Cross multiply
    257,181.01x = 385,630.81 × 204,213.22
  4. Step 4: Simplify right side
    257,181.01x = 78,750,907,966.70
  5. Step 5: Solve for x
    x = 78,750,907,966.70/257,181.01
  6. Step 6: Final answer
    x = 306,208.10

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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.