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Finding the Fourth Proportional to 378,709.80, 522,665.81 and 217,564.54

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Solution

The fourth proportional to 378,709.80, 522,665.81 and 217,564.54 is: 300,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,709.80 : 522,665.81 = 217,564.54 : x
  2. Step 2: Convert to fraction form
    378,709.80/522,665.81 = 217,564.54/x
  3. Step 3: Cross multiply
    378,709.80x = 522,665.81 × 217,564.54
  4. Step 4: Simplify right side
    378,709.80x = 113,713,546,526.38
  5. Step 5: Solve for x
    x = 113,713,546,526.38/378,709.80
  6. Step 6: Final answer
    x = 300,265.66

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1.5x scale

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.