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Finding the Fourth Proportional to 338,720, 508,080.24 and 86,019.44

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Solution

The fourth proportional to 338,720, 508,080.24 and 86,019.44 is: 129,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,720 : 508,080.24 = 86,019.44 : x
  2. Step 2: Convert to fraction form
    338,720/508,080.24 = 86,019.44/x
  3. Step 3: Cross multiply
    338,720x = 508,080.24 × 86,019.44
  4. Step 4: Simplify right side
    338,720x = 43,704,777,719.87
  5. Step 5: Solve for x
    x = 43,704,777,719.87/338,720
  6. Step 6: Final answer
    x = 129,029.22

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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.