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Finding the Fourth Proportional to 218,683.20, 328,024.80 and 200,020.80

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Solution

The fourth proportional to 218,683.20, 328,024.80 and 200,020.80 is: 300,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,683.20 : 328,024.80 = 200,020.80 : x
  2. Step 2: Convert to fraction form
    218,683.20/328,024.80 = 200,020.80/x
  3. Step 3: Cross multiply
    218,683.20x = 328,024.80 × 200,020.80
  4. Step 4: Simplify right side
    218,683.20x = 65,611,782,915.84
  5. Step 5: Solve for x
    x = 65,611,782,915.84/218,683.20
  6. Step 6: Final answer
    x = 300,031.20

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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.