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Finding the Fourth Proportional to 382,901.64, 528,453.81 and 219,621.84

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Solution

The fourth proportional to 382,901.64, 528,453.81 and 219,621.84 is: 303,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,901.64 : 528,453.81 = 219,621.84 : x
  2. Step 2: Convert to fraction form
    382,901.64/528,453.81 = 219,621.84/x
  3. Step 3: Cross multiply
    382,901.64x = 528,453.81 × 219,621.84
  4. Step 4: Simplify right side
    382,901.64x = 116,059,998,107.21
  5. Step 5: Solve for x
    x = 116,059,998,107.21/382,901.64
  6. Step 6: Final answer
    x = 303,106.56

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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.