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Finding the Fourth Proportional to 385,003.56, 531,308.46 and 212,912.64

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Solution

The fourth proportional to 385,003.56, 531,308.46 and 212,912.64 is: 293,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,003.56 : 531,308.46 = 212,912.64 : x
  2. Step 2: Convert to fraction form
    385,003.56/531,308.46 = 212,912.64/x
  3. Step 3: Cross multiply
    385,003.56x = 531,308.46 × 212,912.64
  4. Step 4: Simplify right side
    385,003.56x = 113,122,286,872.93
  5. Step 5: Solve for x
    x = 113,122,286,872.93/385,003.56
  6. Step 6: Final answer
    x = 293,821.40

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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.