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Finding the Fourth Proportional to 384,885.72, 531,138.78 and 212,815.60

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Solution

The fourth proportional to 384,885.72, 531,138.78 and 212,815.60 is: 293,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,885.72 : 531,138.78 = 212,815.60 : x
  2. Step 2: Convert to fraction form
    384,885.72/531,138.78 = 212,815.60/x
  3. Step 3: Cross multiply
    384,885.72x = 531,138.78 × 212,815.60
  4. Step 4: Simplify right side
    384,885.72x = 113,034,618,148.97
  5. Step 5: Solve for x
    x = 113,034,618,148.97/384,885.72
  6. Step 6: Final answer
    x = 293,683.59

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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.