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Finding the Fourth Proportional to 308,657.69, 463,069.73 and 128,683.30

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Solution

The fourth proportional to 308,657.69, 463,069.73 and 128,683.30 is: 193,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,657.69 : 463,069.73 = 128,683.30 : x
  2. Step 2: Convert to fraction form
    308,657.69/463,069.73 = 128,683.30/x
  3. Step 3: Cross multiply
    308,657.69x = 463,069.73 × 128,683.30
  4. Step 4: Simplify right side
    308,657.69x = 59,589,340,150.54
  5. Step 5: Solve for x
    x = 59,589,340,150.54/308,657.69
  6. Step 6: Final answer
    x = 193,059.63

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1.5x scale

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.