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Finding the Fourth Proportional to 552,716.46, 762,840.79 and 320,109.84

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Solution

The fourth proportional to 552,716.46, 762,840.79 and 320,109.84 is: 441,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,716.46 : 762,840.79 = 320,109.84 : x
  2. Step 2: Convert to fraction form
    552,716.46/762,840.79 = 320,109.84/x
  3. Step 3: Cross multiply
    552,716.46x = 762,840.79 × 320,109.84
  4. Step 4: Simplify right side
    552,716.46x = 244,192,842,432.10
  5. Step 5: Solve for x
    x = 244,192,842,432.10/552,716.46
  6. Step 6: Final answer
    x = 441,804.90

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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.