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Finding the Fourth Proportional to 408,324.24, 563,448.96 and 378,231.12

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Solution

The fourth proportional to 408,324.24, 563,448.96 and 378,231.12 is: 521,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,324.24 : 563,448.96 = 378,231.12 : x
  2. Step 2: Convert to fraction form
    408,324.24/563,448.96 = 378,231.12/x
  3. Step 3: Cross multiply
    408,324.24x = 563,448.96 × 378,231.12
  4. Step 4: Simplify right side
    408,324.24x = 213,113,931,203.64
  5. Step 5: Solve for x
    x = 213,113,931,203.64/408,324.24
  6. Step 6: Final answer
    x = 521,923.29

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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.