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Finding the Fourth Proportional to 649,915.22, 974,515.62 and 200,513.46

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Solution

The fourth proportional to 649,915.22, 974,515.62 and 200,513.46 is: 300,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,915.22 : 974,515.62 = 200,513.46 : x
  2. Step 2: Convert to fraction form
    649,915.22/974,515.62 = 200,513.46/x
  3. Step 3: Cross multiply
    649,915.22x = 974,515.62 × 200,513.46
  4. Step 4: Simplify right side
    649,915.22x = 195,403,498,790.25
  5. Step 5: Solve for x
    x = 195,403,498,790.25/649,915.22
  6. Step 6: Final answer
    x = 300,659.98

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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.