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Finding the Fourth Proportional to 347,623, 479,719.74 and 188,647

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Solution

The fourth proportional to 347,623, 479,719.74 and 188,647 is: 260,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,623 : 479,719.74 = 188,647 : x
  2. Step 2: Convert to fraction form
    347,623/479,719.74 = 188,647/x
  3. Step 3: Cross multiply
    347,623x = 479,719.74 × 188,647
  4. Step 4: Simplify right side
    347,623x = 90,497,689,791.78
  5. Step 5: Solve for x
    x = 90,497,689,791.78/347,623
  6. Step 6: Final answer
    x = 260,332.86

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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.