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Finding the Fourth Proportional to 422,324.40, 633,136.20 and 156,034.80

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Solution

The fourth proportional to 422,324.40, 633,136.20 and 156,034.80 is: 233,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,324.40 : 633,136.20 = 156,034.80 : x
  2. Step 2: Convert to fraction form
    422,324.40/633,136.20 = 156,034.80/x
  3. Step 3: Cross multiply
    422,324.40x = 633,136.20 × 156,034.80
  4. Step 4: Simplify right side
    422,324.40x = 98,791,280,339.76
  5. Step 5: Solve for x
    x = 98,791,280,339.76/422,324.40
  6. Step 6: Final answer
    x = 233,922.74

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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.