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Finding the Fourth Proportional to 489,243.40, 733,865.10 and 422,758.60

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Solution

The fourth proportional to 489,243.40, 733,865.10 and 422,758.60 is: 634,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,243.40 : 733,865.10 = 422,758.60 : x
  2. Step 2: Convert to fraction form
    489,243.40/733,865.10 = 422,758.60/x
  3. Step 3: Cross multiply
    489,243.40x = 733,865.10 × 422,758.60
  4. Step 4: Simplify right side
    489,243.40x = 310,247,782,264.86
  5. Step 5: Solve for x
    x = 310,247,782,264.86/489,243.40
  6. Step 6: Final answer
    x = 634,137.90

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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.