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Finding the Fourth Proportional to 470,515.19, 705,375.99 and 204,075

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Solution

The fourth proportional to 470,515.19, 705,375.99 and 204,075 is: 305,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,515.19 : 705,375.99 = 204,075 : x
  2. Step 2: Convert to fraction form
    470,515.19/705,375.99 = 204,075/x
  3. Step 3: Cross multiply
    470,515.19x = 705,375.99 × 204,075
  4. Step 4: Simplify right side
    470,515.19x = 143,949,605,159.25
  5. Step 5: Solve for x
    x = 143,949,605,159.25/470,515.19
  6. Step 6: Final answer
    x = 305,940.40

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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.