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Finding the Fourth Proportional to 377,886.90, 521,460.24 and 208,120.98

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Solution

The fourth proportional to 377,886.90, 521,460.24 and 208,120.98 is: 287,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,886.90 : 521,460.24 = 208,120.98 : x
  2. Step 2: Convert to fraction form
    377,886.90/521,460.24 = 208,120.98/x
  3. Step 3: Cross multiply
    377,886.90x = 521,460.24 × 208,120.98
  4. Step 4: Simplify right side
    377,886.90x = 108,526,816,179.84
  5. Step 5: Solve for x
    x = 108,526,816,179.84/377,886.90
  6. Step 6: Final answer
    x = 287,193.91

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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.