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Finding the Fourth Proportional to 312,146.60, 468,438.60 and 200,099.30

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Solution

The fourth proportional to 312,146.60, 468,438.60 and 200,099.30 is: 300,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,146.60 : 468,438.60 = 200,099.30 : x
  2. Step 2: Convert to fraction form
    312,146.60/468,438.60 = 200,099.30/x
  3. Step 3: Cross multiply
    312,146.60x = 468,438.60 × 200,099.30
  4. Step 4: Simplify right side
    312,146.60x = 93,734,235,952.98
  5. Step 5: Solve for x
    x = 93,734,235,952.98/312,146.60
  6. Step 6: Final answer
    x = 300,289.15

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1.5x scale

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.