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Finding the Fourth Proportional to 384,850.94, 531,078.63 and 212,757.95

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Solution

The fourth proportional to 384,850.94, 531,078.63 and 212,757.95 is: 293,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,850.94 : 531,078.63 = 212,757.95 : x
  2. Step 2: Convert to fraction form
    384,850.94/531,078.63 = 212,757.95/x
  3. Step 3: Cross multiply
    384,850.94x = 531,078.63 × 212,757.95
  4. Step 4: Simplify right side
    384,850.94x = 112,991,201,137.46
  5. Step 5: Solve for x
    x = 112,991,201,137.46/384,850.94
  6. Step 6: Final answer
    x = 293,597.31

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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.