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Finding the Fourth Proportional to 387,112, 580,668 and 106,629.28

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Solution

The fourth proportional to 387,112, 580,668 and 106,629.28 is: 159,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,112 : 580,668 = 106,629.28 : x
  2. Step 2: Convert to fraction form
    387,112/580,668 = 106,629.28/x
  3. Step 3: Cross multiply
    387,112x = 580,668 × 106,629.28
  4. Step 4: Simplify right side
    387,112x = 61,916,210,759.04
  5. Step 5: Solve for x
    x = 61,916,210,759.04/387,112
  6. Step 6: Final answer
    x = 159,943.92

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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.