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Finding the Fourth Proportional to 1,115,741,978.87, 1,673,612,719.20 and 406,743,697.38

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Solution

The fourth proportional to 1,115,741,978.87, 1,673,612,719.20 and 406,743,697.38 is: 610,115,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115,741,978.87 : 1,673,612,719.20 = 406,743,697.38 : x
  2. Step 2: Convert to fraction form
    1,115,741,978.87/1,673,612,719.20 = 406,743,697.38/x
  3. Step 3: Cross multiply
    1,115,741,978.87x = 1,673,612,719.20 × 406,743,697.38
  4. Step 4: Simplify right side
    1,115,741,978.87x = 680,731,425,394,674,304
  5. Step 5: Solve for x
    x = 680,731,425,394,674,304/1,115,741,978.87
  6. Step 6: Final answer
    x = 610,115,455.26

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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.