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Finding the Fourth Proportional to 200,957,558.40, 301,436,337.60 and 199,256,947.20

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Solution

The fourth proportional to 200,957,558.40, 301,436,337.60 and 199,256,947.20 is: 298,885,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,957,558.40 : 301,436,337.60 = 199,256,947.20 : x
  2. Step 2: Convert to fraction form
    200,957,558.40/301,436,337.60 = 199,256,947.20/x
  3. Step 3: Cross multiply
    200,957,558.40x = 301,436,337.60 × 199,256,947.20
  4. Step 4: Simplify right side
    200,957,558.40x = 60,063,284,405,324,576
  5. Step 5: Solve for x
    x = 60,063,284,405,324,576/200,957,558.40
  6. Step 6: Final answer
    x = 298,885,420.80

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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.