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Finding the Fourth Proportional to 384,722, 530,943.83 and 212,636.26

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Solution

The fourth proportional to 384,722, 530,943.83 and 212,636.26 is: 293,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,722 : 530,943.83 = 212,636.26 : x
  2. Step 2: Convert to fraction form
    384,722/530,943.83 = 212,636.26/x
  3. Step 3: Cross multiply
    384,722x = 530,943.83 × 212,636.26
  4. Step 4: Simplify right side
    384,722x = 112,897,910,281.28
  5. Step 5: Solve for x
    x = 112,897,910,281.28/384,722
  6. Step 6: Final answer
    x = 293,453.22

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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.