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Finding the Fourth Proportional to 649,469.36, 974,301 and 200,152.88

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Solution

The fourth proportional to 649,469.36, 974,301 and 200,152.88 is: 300,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,469.36 : 974,301 = 200,152.88 : x
  2. Step 2: Convert to fraction form
    649,469.36/974,301 = 200,152.88/x
  3. Step 3: Cross multiply
    649,469.36x = 974,301 × 200,152.88
  4. Step 4: Simplify right side
    649,469.36x = 195,009,151,136.88
  5. Step 5: Solve for x
    x = 195,009,151,136.88/649,469.36
  6. Step 6: Final answer
    x = 300,259.20

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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.