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Finding the Fourth Proportional to 339,978,805.10, 509,968,207.65 and 110,112,857.90

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Solution

The fourth proportional to 339,978,805.10, 509,968,207.65 and 110,112,857.90 is: 165,169,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,978,805.10 : 509,968,207.65 = 110,112,857.90 : x
  2. Step 2: Convert to fraction form
    339,978,805.10/509,968,207.65 = 110,112,857.90/x
  3. Step 3: Cross multiply
    339,978,805.10x = 509,968,207.65 × 110,112,857.90
  4. Step 4: Simplify right side
    339,978,805.10x = 56,154,056,782,482,144
  5. Step 5: Solve for x
    x = 56,154,056,782,482,144/339,978,805.10
  6. Step 6: Final answer
    x = 165,169,286.85

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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.