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Finding the Fourth Proportional to 378,619.35, 522,486.35 and 208,853.47

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Solution

The fourth proportional to 378,619.35, 522,486.35 and 208,853.47 is: 288,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,619.35 : 522,486.35 = 208,853.47 : x
  2. Step 2: Convert to fraction form
    378,619.35/522,486.35 = 208,853.47/x
  3. Step 3: Cross multiply
    378,619.35x = 522,486.35 × 208,853.47
  4. Step 4: Simplify right side
    378,619.35x = 109,123,087,617.18
  5. Step 5: Solve for x
    x = 109,123,087,617.18/378,619.35
  6. Step 6: Final answer
    x = 288,213.18

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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.