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Finding the Fourth Proportional to 367,075.80, 550,449.67 and 142,361.55

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Solution

The fourth proportional to 367,075.80, 550,449.67 and 142,361.55 is: 213,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,075.80 : 550,449.67 = 142,361.55 : x
  2. Step 2: Convert to fraction form
    367,075.80/550,449.67 = 142,361.55/x
  3. Step 3: Cross multiply
    367,075.80x = 550,449.67 × 142,361.55
  4. Step 4: Simplify right side
    367,075.80x = 78,362,868,218.19
  5. Step 5: Solve for x
    x = 78,362,868,218.19/367,075.80
  6. Step 6: Final answer
    x = 213,478.71

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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.