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Finding the Fourth Proportional to 258,871.63, 388,372.14 and 205,763.98

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Solution

The fourth proportional to 258,871.63, 388,372.14 and 205,763.98 is: 308,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,871.63 : 388,372.14 = 205,763.98 : x
  2. Step 2: Convert to fraction form
    258,871.63/388,372.14 = 205,763.98/x
  3. Step 3: Cross multiply
    258,871.63x = 388,372.14 × 205,763.98
  4. Step 4: Simplify right side
    258,871.63x = 79,912,997,247.52
  5. Step 5: Solve for x
    x = 79,912,997,247.52/258,871.63
  6. Step 6: Final answer
    x = 308,697.39

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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.