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Finding the Fourth Proportional to 338,406, 507,617.16 and 113,769.36

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Solution

The fourth proportional to 338,406, 507,617.16 and 113,769.36 is: 170,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,406 : 507,617.16 = 113,769.36 : x
  2. Step 2: Convert to fraction form
    338,406/507,617.16 = 113,769.36/x
  3. Step 3: Cross multiply
    338,406x = 507,617.16 × 113,769.36
  4. Step 4: Simplify right side
    338,406x = 57,751,279,418.22
  5. Step 5: Solve for x
    x = 57,751,279,418.22/338,406
  6. Step 6: Final answer
    x = 170,656.78

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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.