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Finding the Fourth Proportional to 652,122.80, 978,475.80 and 315,033.20

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Solution

The fourth proportional to 652,122.80, 978,475.80 and 315,033.20 is: 472,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,122.80 : 978,475.80 = 315,033.20 : x
  2. Step 2: Convert to fraction form
    652,122.80/978,475.80 = 315,033.20/x
  3. Step 3: Cross multiply
    652,122.80x = 978,475.80 × 315,033.20
  4. Step 4: Simplify right side
    652,122.80x = 308,252,362,396.56
  5. Step 5: Solve for x
    x = 308,252,362,396.56/652,122.80
  6. Step 6: Final answer
    x = 472,690.67

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