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Finding the Fourth Proportional to 378,409.18, 522,331.21 and 225,495.33

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Solution

The fourth proportional to 378,409.18, 522,331.21 and 225,495.33 is: 311,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,409.18 : 522,331.21 = 225,495.33 : x
  2. Step 2: Convert to fraction form
    378,409.18/522,331.21 = 225,495.33/x
  3. Step 3: Cross multiply
    378,409.18x = 522,331.21 × 225,495.33
  4. Step 4: Simplify right side
    378,409.18x = 117,783,249,399.96
  5. Step 5: Solve for x
    x = 117,783,249,399.96/378,409.18
  6. Step 6: Final answer
    x = 311,258.97

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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.