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Finding the Fourth Proportional to 308,268.96, 462,412.92 and 83,628.50

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Solution

The fourth proportional to 308,268.96, 462,412.92 and 83,628.50 is: 125,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,268.96 : 462,412.92 = 83,628.50 : x
  2. Step 2: Convert to fraction form
    308,268.96/462,412.92 = 83,628.50/x
  3. Step 3: Cross multiply
    308,268.96x = 462,412.92 × 83,628.50
  4. Step 4: Simplify right side
    308,268.96x = 38,670,898,880.22
  5. Step 5: Solve for x
    x = 38,670,898,880.22/308,268.96
  6. Step 6: Final answer
    x = 125,445.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.