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Finding the Fourth Proportional to 378,718.48, 522,660.84 and 208,967.44

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Solution

The fourth proportional to 378,718.48, 522,660.84 and 208,967.44 is: 288,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,718.48 : 522,660.84 = 208,967.44 : x
  2. Step 2: Convert to fraction form
    378,718.48/522,660.84 = 208,967.44/x
  3. Step 3: Cross multiply
    378,718.48x = 522,660.84 × 208,967.44
  4. Step 4: Simplify right side
    378,718.48x = 109,219,097,723.05
  5. Step 5: Solve for x
    x = 109,219,097,723.05/378,718.48
  6. Step 6: Final answer
    x = 288,391.25

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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.