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Finding the Fourth Proportional to 649,647.70, 974,576.64 and 200,263.47

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Solution

The fourth proportional to 649,647.70, 974,576.64 and 200,263.47 is: 300,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,647.70 : 974,576.64 = 200,263.47 : x
  2. Step 2: Convert to fraction form
    649,647.70/974,576.64 = 200,263.47/x
  3. Step 3: Cross multiply
    649,647.70x = 974,576.64 × 200,263.47
  4. Step 4: Simplify right side
    649,647.70x = 195,172,102,664.05
  5. Step 5: Solve for x
    x = 195,172,102,664.05/649,647.70
  6. Step 6: Final answer
    x = 300,427.61

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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.