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Finding the Fourth Proportional to 298,973,163.60, 448,459,745.40 and 137,730,027.60

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Solution

The fourth proportional to 298,973,163.60, 448,459,745.40 and 137,730,027.60 is: 206,595,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973,163.60 : 448,459,745.40 = 137,730,027.60 : x
  2. Step 2: Convert to fraction form
    298,973,163.60/448,459,745.40 = 137,730,027.60/x
  3. Step 3: Cross multiply
    298,973,163.60x = 448,459,745.40 × 137,730,027.60
  4. Step 4: Simplify right side
    298,973,163.60x = 61,766,373,111,430,968
  5. Step 5: Solve for x
    x = 61,766,373,111,430,968/298,973,163.60
  6. Step 6: Final answer
    x = 206,595,041.40

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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.