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Finding the Fourth Proportional to 378,481.04, 522,329.64 and 219,505.04

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Solution

The fourth proportional to 378,481.04, 522,329.64 and 219,505.04 is: 302,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,481.04 : 522,329.64 = 219,505.04 : x
  2. Step 2: Convert to fraction form
    378,481.04/522,329.64 = 219,505.04/x
  3. Step 3: Cross multiply
    378,481.04x = 522,329.64 × 219,505.04
  4. Step 4: Simplify right side
    378,481.04x = 114,653,988,521.39
  5. Step 5: Solve for x
    x = 114,653,988,521.39/378,481.04
  6. Step 6: Final answer
    x = 302,931.92

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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.