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Finding the Fourth Proportional to 339,816, 468,946.62 and 188,913

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Solution

The fourth proportional to 339,816, 468,946.62 and 188,913 is: 260,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,816 : 468,946.62 = 188,913 : x
  2. Step 2: Convert to fraction form
    339,816/468,946.62 = 188,913/x
  3. Step 3: Cross multiply
    339,816x = 468,946.62 × 188,913
  4. Step 4: Simplify right side
    339,816x = 88,590,112,824.06
  5. Step 5: Solve for x
    x = 88,590,112,824.06/339,816
  6. Step 6: Final answer
    x = 260,700.24

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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.