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Finding the Fourth Proportional to 308,511.36, 462,880.32 and 220,457.92

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Solution

The fourth proportional to 308,511.36, 462,880.32 and 220,457.92 is: 330,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,511.36 : 462,880.32 = 220,457.92 : x
  2. Step 2: Convert to fraction form
    308,511.36/462,880.32 = 220,457.92/x
  3. Step 3: Cross multiply
    308,511.36x = 462,880.32 × 220,457.92
  4. Step 4: Simplify right side
    308,511.36x = 102,045,632,556.13
  5. Step 5: Solve for x
    x = 102,045,632,556.13/308,511.36
  6. Step 6: Final answer
    x = 330,767.83

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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.