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Finding the Fourth Proportional to 384,101.87, 530,057.66 and 222,971.94

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Solution

The fourth proportional to 384,101.87, 530,057.66 and 222,971.94 is: 307,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,101.87 : 530,057.66 = 222,971.94 : x
  2. Step 2: Convert to fraction form
    384,101.87/530,057.66 = 222,971.94/x
  3. Step 3: Cross multiply
    384,101.87x = 530,057.66 × 222,971.94
  4. Step 4: Simplify right side
    384,101.87x = 118,187,983,647.20
  5. Step 5: Solve for x
    x = 118,187,983,647.20/384,101.87
  6. Step 6: Final answer
    x = 307,699.58

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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.