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Finding the Fourth Proportional to 385,100.81, 531,398.21 and 212,991.42

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Solution

The fourth proportional to 385,100.81, 531,398.21 and 212,991.42 is: 293,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,100.81 : 531,398.21 = 212,991.42 : x
  2. Step 2: Convert to fraction form
    385,100.81/531,398.21 = 212,991.42/x
  3. Step 3: Cross multiply
    385,100.81x = 531,398.21 × 212,991.42
  4. Step 4: Simplify right side
    385,100.81x = 113,183,258,268.40
  5. Step 5: Solve for x
    x = 113,183,258,268.40/385,100.81
  6. Step 6: Final answer
    x = 293,905.54

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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.