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Finding the Fourth Proportional to 355,075.50, 490,018.77 and 204,172.50

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Solution

The fourth proportional to 355,075.50, 490,018.77 and 204,172.50 is: 281,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,075.50 : 490,018.77 = 204,172.50 : x
  2. Step 2: Convert to fraction form
    355,075.50/490,018.77 = 204,172.50/x
  3. Step 3: Cross multiply
    355,075.50x = 490,018.77 × 204,172.50
  4. Step 4: Simplify right side
    355,075.50x = 100,048,357,317.83
  5. Step 5: Solve for x
    x = 100,048,357,317.83/355,075.50
  6. Step 6: Final answer
    x = 281,766.43

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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.