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Finding the Fourth Proportional to 398,645,586.40, 597,968,379.60 and 395,958,200.80

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Solution

The fourth proportional to 398,645,586.40, 597,968,379.60 and 395,958,200.80 is: 593,937,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,645,586.40 : 597,968,379.60 = 395,958,200.80 : x
  2. Step 2: Convert to fraction form
    398,645,586.40/597,968,379.60 = 395,958,200.80/x
  3. Step 3: Cross multiply
    398,645,586.40x = 597,968,379.60 × 395,958,200.80
  4. Step 4: Simplify right side
    398,645,586.40x = 236,770,483,721,707,456
  5. Step 5: Solve for x
    x = 236,770,483,721,707,456/398,645,586.40
  6. Step 6: Final answer
    x = 593,937,301.20

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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.