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Finding the Fourth Proportional to 299,089,605.60, 448,634,408.40 and 137,846,469.60

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Solution

The fourth proportional to 299,089,605.60, 448,634,408.40 and 137,846,469.60 is: 206,769,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,089,605.60 : 448,634,408.40 = 137,846,469.60 : x
  2. Step 2: Convert to fraction form
    299,089,605.60/448,634,408.40 = 137,846,469.60/x
  3. Step 3: Cross multiply
    299,089,605.60x = 448,634,408.40 × 137,846,469.60
  4. Step 4: Simplify right side
    299,089,605.60x = 61,842,669,339,024,576
  5. Step 5: Solve for x
    x = 61,842,669,339,024,576/299,089,605.60
  6. Step 6: Final answer
    x = 206,769,704.40

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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.