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Finding the Fourth Proportional to 278,611, 384,483.18 and 159,379

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Solution

The fourth proportional to 278,611, 384,483.18 and 159,379 is: 219,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,611 : 384,483.18 = 159,379 : x
  2. Step 2: Convert to fraction form
    278,611/384,483.18 = 159,379/x
  3. Step 3: Cross multiply
    278,611x = 384,483.18 × 159,379
  4. Step 4: Simplify right side
    278,611x = 61,278,544,745.22
  5. Step 5: Solve for x
    x = 61,278,544,745.22/278,611
  6. Step 6: Final answer
    x = 219,943.02

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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.