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Finding the Fourth Proportional to 579,467.98, 869,163.90 and 200,300.50

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Solution

The fourth proportional to 579,467.98, 869,163.90 and 200,300.50 is: 300,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,467.98 : 869,163.90 = 200,300.50 : x
  2. Step 2: Convert to fraction form
    579,467.98/869,163.90 = 200,300.50/x
  3. Step 3: Cross multiply
    579,467.98x = 869,163.90 × 200,300.50
  4. Step 4: Simplify right side
    579,467.98x = 174,093,963,751.95
  5. Step 5: Solve for x
    x = 174,093,963,751.95/579,467.98
  6. Step 6: Final answer
    x = 300,437.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.