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Finding the Fourth Proportional to 378,130.44, 521,830.94 and 208,375.50

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Solution

The fourth proportional to 378,130.44, 521,830.94 and 208,375.50 is: 287,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,130.44 : 521,830.94 = 208,375.50 : x
  2. Step 2: Convert to fraction form
    378,130.44/521,830.94 = 208,375.50/x
  3. Step 3: Cross multiply
    378,130.44x = 521,830.94 × 208,375.50
  4. Step 4: Simplify right side
    378,130.44x = 108,736,783,037.97
  5. Step 5: Solve for x
    x = 108,736,783,037.97/378,130.44
  6. Step 6: Final answer
    x = 287,564.21

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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.