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Finding the Fourth Proportional to 290,764,661.63, 436,150,791.41 and 96,676,076.81

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Solution

The fourth proportional to 290,764,661.63, 436,150,791.41 and 96,676,076.81 is: 145,015,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,764,661.63 : 436,150,791.41 = 96,676,076.81 : x
  2. Step 2: Convert to fraction form
    290,764,661.63/436,150,791.41 = 96,676,076.81/x
  3. Step 3: Cross multiply
    290,764,661.63x = 436,150,791.41 × 96,676,076.81
  4. Step 4: Simplify right side
    290,764,661.63x = 42,165,347,411,095,448
  5. Step 5: Solve for x
    x = 42,165,347,411,095,448/290,764,661.63
  6. Step 6: Final answer
    x = 145,015,378.33

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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.