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Finding the Fourth Proportional to 383,568, 529,304.59 and 213,769.32

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Solution

The fourth proportional to 383,568, 529,304.59 and 213,769.32 is: 294,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,568 : 529,304.59 = 213,769.32 : x
  2. Step 2: Convert to fraction form
    383,568/529,304.59 = 213,769.32/x
  3. Step 3: Cross multiply
    383,568x = 529,304.59 × 213,769.32
  4. Step 4: Simplify right side
    383,568x = 113,149,082,277.18
  5. Step 5: Solve for x
    x = 113,149,082,277.18/383,568
  6. Step 6: Final answer
    x = 294,990.93

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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.