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Finding the Fourth Proportional to 338,921.12, 467,709.72 and 188,018.12

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Solution

The fourth proportional to 338,921.12, 467,709.72 and 188,018.12 is: 259,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,921.12 : 467,709.72 = 188,018.12 : x
  2. Step 2: Convert to fraction form
    338,921.12/467,709.72 = 188,018.12/x
  3. Step 3: Cross multiply
    338,921.12x = 467,709.72 × 188,018.12
  4. Step 4: Simplify right side
    338,921.12x = 87,937,902,260.13
  5. Step 5: Solve for x
    x = 87,937,902,260.13/338,921.12
  6. Step 6: Final answer
    x = 259,464.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.