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Finding the Fourth Proportional to 378,448.83, 522,385.88 and 225,535.01

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Solution

The fourth proportional to 378,448.83, 522,385.88 and 225,535.01 is: 311,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,448.83 : 522,385.88 = 225,535.01 : x
  2. Step 2: Convert to fraction form
    378,448.83/522,385.88 = 225,535.01/x
  3. Step 3: Cross multiply
    378,448.83x = 522,385.88 × 225,535.01
  4. Step 4: Simplify right side
    378,448.83x = 117,816,300,930.05
  5. Step 5: Solve for x
    x = 117,816,300,930.05/378,448.83
  6. Step 6: Final answer
    x = 311,313.69

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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.