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Finding the Fourth Proportional to 378,329.76, 522,091.64 and 208,563.89

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Solution

The fourth proportional to 378,329.76, 522,091.64 and 208,563.89 is: 287,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,329.76 : 522,091.64 = 208,563.89 : x
  2. Step 2: Convert to fraction form
    378,329.76/522,091.64 = 208,563.89/x
  3. Step 3: Cross multiply
    378,329.76x = 522,091.64 × 208,563.89
  4. Step 4: Simplify right side
    378,329.76x = 108,889,461,285.83
  5. Step 5: Solve for x
    x = 108,889,461,285.83/378,329.76
  6. Step 6: Final answer
    x = 287,816.27

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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.