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Finding the Fourth Proportional to 378,633.95, 522,474.40 and 208,868.03

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Solution

The fourth proportional to 378,633.95, 522,474.40 and 208,868.03 is: 288,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,633.95 : 522,474.40 = 208,868.03 : x
  2. Step 2: Convert to fraction form
    378,633.95/522,474.40 = 208,868.03/x
  3. Step 3: Cross multiply
    378,633.95x = 522,474.40 × 208,868.03
  4. Step 4: Simplify right side
    378,633.95x = 109,128,198,653.43
  5. Step 5: Solve for x
    x = 109,128,198,653.43/378,633.95
  6. Step 6: Final answer
    x = 288,215.57

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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.