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Finding the Fourth Proportional to 338,504.96, 507,745.10 and 136,163.72

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Solution

The fourth proportional to 338,504.96, 507,745.10 and 136,163.72 is: 204,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,504.96 : 507,745.10 = 136,163.72 : x
  2. Step 2: Convert to fraction form
    338,504.96/507,745.10 = 136,163.72/x
  3. Step 3: Cross multiply
    338,504.96x = 507,745.10 × 136,163.72
  4. Step 4: Simplify right side
    338,504.96x = 69,136,461,627.77
  5. Step 5: Solve for x
    x = 69,136,461,627.77/338,504.96
  6. Step 6: Final answer
    x = 204,240.62

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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.