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Finding the Fourth Proportional to 384,996.44, 531,298.63 and 212,905.51

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Solution

The fourth proportional to 384,996.44, 531,298.63 and 212,905.51 is: 293,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,996.44 : 531,298.63 = 212,905.51 : x
  2. Step 2: Convert to fraction form
    384,996.44/531,298.63 = 212,905.51/x
  3. Step 3: Cross multiply
    384,996.44x = 531,298.63 × 212,905.51
  4. Step 4: Simplify right side
    384,996.44x = 113,116,406,511.30
  5. Step 5: Solve for x
    x = 113,116,406,511.30/384,996.44
  6. Step 6: Final answer
    x = 293,811.56

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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.