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Finding the Fourth Proportional to 384,969.46, 531,261.26 and 212,899.09

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Solution

The fourth proportional to 384,969.46, 531,261.26 and 212,899.09 is: 293,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,969.46 : 531,261.26 = 212,899.09 : x
  2. Step 2: Convert to fraction form
    384,969.46/531,261.26 = 212,899.09/x
  3. Step 3: Cross multiply
    384,969.46x = 531,261.26 × 212,899.09
  4. Step 4: Simplify right side
    384,969.46x = 113,105,036,682.20
  5. Step 5: Solve for x
    x = 113,105,036,682.20/384,969.46
  6. Step 6: Final answer
    x = 293,802.63

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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.