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Finding the Fourth Proportional to 318,863,993.60, 477,445,684.80 and 318,863,993.60

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Solution

The fourth proportional to 318,863,993.60, 477,445,684.80 and 318,863,993.60 is: 477,445,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,863,993.60 : 477,445,684.80 = 318,863,993.60 : x
  2. Step 2: Convert to fraction form
    318,863,993.60/477,445,684.80 = 318,863,993.60/x
  3. Step 3: Cross multiply
    318,863,993.60x = 477,445,684.80 × 318,863,993.60
  4. Step 4: Simplify right side
    318,863,993.60x = 152,240,237,782,414,848
  5. Step 5: Solve for x
    x = 152,240,237,782,414,848/318,863,993.60
  6. Step 6: Final answer
    x = 477,445,684.80

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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.