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Finding the Fourth Proportional to 385,456,978,611.34, 531,943,387,293 and 211,848,271,709.38

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Solution

The fourth proportional to 385,456,978,611.34, 531,943,387,293 and 211,848,271,709.38 is: 292,357,626,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,456,978,611.34 : 531,943,387,293 = 211,848,271,709.38 : x
  2. Step 2: Convert to fraction form
    385,456,978,611.34/531,943,387,293 = 211,848,271,709.38/x
  3. Step 3: Cross multiply
    385,456,978,611.34x = 531,943,387,293 × 211,848,271,709.38
  4. Step 4: Simplify right side
    385,456,978,611.34x = 112,691,287,245,255,425,916,928
  5. Step 5: Solve for x
    x = 112,691,287,245,255,425,916,928/385,456,978,611.34
  6. Step 6: Final answer
    x = 292,357,626,138.31

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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.