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Finding the Fourth Proportional to 399,231.80, 598,847.70 and 264,512.60

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Solution

The fourth proportional to 399,231.80, 598,847.70 and 264,512.60 is: 396,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,231.80 : 598,847.70 = 264,512.60 : x
  2. Step 2: Convert to fraction form
    399,231.80/598,847.70 = 264,512.60/x
  3. Step 3: Cross multiply
    399,231.80x = 598,847.70 × 264,512.60
  4. Step 4: Simplify right side
    399,231.80x = 158,402,762,131.02
  5. Step 5: Solve for x
    x = 158,402,762,131.02/399,231.80
  6. Step 6: Final answer
    x = 396,768.90

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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.