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Finding the Fourth Proportional to 338,268.72, 507,480.96 and 101,616

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Solution

The fourth proportional to 338,268.72, 507,480.96 and 101,616 is: 152,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,268.72 : 507,480.96 = 101,616 : x
  2. Step 2: Convert to fraction form
    338,268.72/507,480.96 = 101,616/x
  3. Step 3: Cross multiply
    338,268.72x = 507,480.96 × 101,616
  4. Step 4: Simplify right side
    338,268.72x = 51,568,185,231.36
  5. Step 5: Solve for x
    x = 51,568,185,231.36/338,268.72
  6. Step 6: Final answer
    x = 152,447.40

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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.