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Finding the Fourth Proportional to 382,558.56, 527,950.32 and 212,796

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Solution

The fourth proportional to 382,558.56, 527,950.32 and 212,796 is: 293,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,558.56 : 527,950.32 = 212,796 : x
  2. Step 2: Convert to fraction form
    382,558.56/527,950.32 = 212,796/x
  3. Step 3: Cross multiply
    382,558.56x = 527,950.32 × 212,796
  4. Step 4: Simplify right side
    382,558.56x = 112,345,716,294.72
  5. Step 5: Solve for x
    x = 112,345,716,294.72/382,558.56
  6. Step 6: Final answer
    x = 293,669.33

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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.