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Finding the Fourth Proportional to 378,123.88, 521,821.93 and 208,368.94

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Solution

The fourth proportional to 378,123.88, 521,821.93 and 208,368.94 is: 287,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,123.88 : 521,821.93 = 208,368.94 : x
  2. Step 2: Convert to fraction form
    378,123.88/521,821.93 = 208,368.94/x
  3. Step 3: Cross multiply
    378,123.88x = 521,821.93 × 208,368.94
  4. Step 4: Simplify right side
    378,123.88x = 108,731,482,422.85
  5. Step 5: Solve for x
    x = 108,731,482,422.85/378,123.88
  6. Step 6: Final answer
    x = 287,555.19

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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.