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Finding the Fourth Proportional to 339,178, 468,065.64 and 188,289.04

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Solution

The fourth proportional to 339,178, 468,065.64 and 188,289.04 is: 259,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,178 : 468,065.64 = 188,289.04 : x
  2. Step 2: Convert to fraction form
    339,178/468,065.64 = 188,289.04/x
  3. Step 3: Cross multiply
    339,178x = 468,065.64 × 188,289.04
  4. Step 4: Simplify right side
    339,178x = 88,131,630,012.59
  5. Step 5: Solve for x
    x = 88,131,630,012.59/339,178
  6. Step 6: Final answer
    x = 259,838.88

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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.