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Finding the Fourth Proportional to 384,858.54, 531,081.89 and 212,766.20

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Solution

The fourth proportional to 384,858.54, 531,081.89 and 212,766.20 is: 293,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,858.54 : 531,081.89 = 212,766.20 : x
  2. Step 2: Convert to fraction form
    384,858.54/531,081.89 = 212,766.20/x
  3. Step 3: Cross multiply
    384,858.54x = 531,081.89 × 212,766.20
  4. Step 4: Simplify right side
    384,858.54x = 112,996,271,904.88
  5. Step 5: Solve for x
    x = 112,996,271,904.88/384,858.54
  6. Step 6: Final answer
    x = 293,604.69

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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.