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Finding the Fourth Proportional to 378,563.88, 522,417.15 and 217,429.38

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Solution

The fourth proportional to 378,563.88, 522,417.15 and 217,429.38 is: 300,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,563.88 : 522,417.15 = 217,429.38 : x
  2. Step 2: Convert to fraction form
    378,563.88/522,417.15 = 217,429.38/x
  3. Step 3: Cross multiply
    378,563.88x = 522,417.15 × 217,429.38
  4. Step 4: Simplify right side
    378,563.88x = 113,588,837,025.87
  5. Step 5: Solve for x
    x = 113,588,837,025.87/378,563.88
  6. Step 6: Final answer
    x = 300,051.97

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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.