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Finding the Fourth Proportional to 338,469.42, 507,538.26 and 138,735.48

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Solution

The fourth proportional to 338,469.42, 507,538.26 and 138,735.48 is: 208,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,469.42 : 507,538.26 = 138,735.48 : x
  2. Step 2: Convert to fraction form
    338,469.42/507,538.26 = 138,735.48/x
  3. Step 3: Cross multiply
    338,469.42x = 507,538.26 × 138,735.48
  4. Step 4: Simplify right side
    338,469.42x = 70,413,564,119.46
  5. Step 5: Solve for x
    x = 70,413,564,119.46/338,469.42
  6. Step 6: Final answer
    x = 208,035.23

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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.