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Finding the Fourth Proportional to 384,855.72, 531,078.01 and 212,763.37

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Solution

The fourth proportional to 384,855.72, 531,078.01 and 212,763.37 is: 293,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,855.72 : 531,078.01 = 212,763.37 : x
  2. Step 2: Convert to fraction form
    384,855.72/531,078.01 = 212,763.37/x
  3. Step 3: Cross multiply
    384,855.72x = 531,078.01 × 212,763.37
  4. Step 4: Simplify right side
    384,855.72x = 112,993,947,140.49
  5. Step 5: Solve for x
    x = 112,993,947,140.49/384,855.72
  6. Step 6: Final answer
    x = 293,600.80

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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.