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Finding the Fourth Proportional to 308,305, 462,457.52 and 86,689

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Solution

The fourth proportional to 308,305, 462,457.52 and 86,689 is: 130,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,305 : 462,457.52 = 86,689 : x
  2. Step 2: Convert to fraction form
    308,305/462,457.52 = 86,689/x
  3. Step 3: Cross multiply
    308,305x = 462,457.52 × 86,689
  4. Step 4: Simplify right side
    308,305x = 40,089,979,951.28
  5. Step 5: Solve for x
    x = 40,089,979,951.28/308,305
  6. Step 6: Final answer
    x = 130,033.51

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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.