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Finding the Fourth Proportional to 306,629.36, 459,946.08 and 106,949

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Solution

The fourth proportional to 306,629.36, 459,946.08 and 106,949 is: 160,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,629.36 : 459,946.08 = 106,949 : x
  2. Step 2: Convert to fraction form
    306,629.36/459,946.08 = 106,949/x
  3. Step 3: Cross multiply
    306,629.36x = 459,946.08 × 106,949
  4. Step 4: Simplify right side
    306,629.36x = 49,190,773,309.92
  5. Step 5: Solve for x
    x = 49,190,773,309.92/306,629.36
  6. Step 6: Final answer
    x = 160,424.21

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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.