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Finding the Fourth Proportional to 384,907.37, 531,162.72 and 212,820.80

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Solution

The fourth proportional to 384,907.37, 531,162.72 and 212,820.80 is: 293,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,907.37 : 531,162.72 = 212,820.80 : x
  2. Step 2: Convert to fraction form
    384,907.37/531,162.72 = 212,820.80/x
  3. Step 3: Cross multiply
    384,907.37x = 531,162.72 × 212,820.80
  4. Step 4: Simplify right side
    384,907.37x = 113,042,472,344.76
  5. Step 5: Solve for x
    x = 113,042,472,344.76/384,907.37
  6. Step 6: Final answer
    x = 293,687.48

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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.