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Finding the Fourth Proportional to 325,373.80, 488,268.06 and 138,385

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Solution

The fourth proportional to 325,373.80, 488,268.06 and 138,385 is: 207,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,373.80 : 488,268.06 = 138,385 : x
  2. Step 2: Convert to fraction form
    325,373.80/488,268.06 = 138,385/x
  3. Step 3: Cross multiply
    325,373.80x = 488,268.06 × 138,385
  4. Step 4: Simplify right side
    325,373.80x = 67,568,975,483.10
  5. Step 5: Solve for x
    x = 67,568,975,483.10/325,373.80
  6. Step 6: Final answer
    x = 207,665.69

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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.