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Finding the Fourth Proportional to 348,306, 522,021.72 and 188,375.56

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Solution

The fourth proportional to 348,306, 522,021.72 and 188,375.56 is: 282,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,306 : 522,021.72 = 188,375.56 : x
  2. Step 2: Convert to fraction form
    348,306/522,021.72 = 188,375.56/x
  3. Step 3: Cross multiply
    348,306x = 522,021.72 × 188,375.56
  4. Step 4: Simplify right side
    348,306x = 98,336,133,837.16
  5. Step 5: Solve for x
    x = 98,336,133,837.16/348,306
  6. Step 6: Final answer
    x = 282,326.84

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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.