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Finding the Fourth Proportional to 308,231.49, 462,384.60 and 108,511.01

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Solution

The fourth proportional to 308,231.49, 462,384.60 and 108,511.01 is: 162,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,231.49 : 462,384.60 = 108,511.01 : x
  2. Step 2: Convert to fraction form
    308,231.49/462,384.60 = 108,511.01/x
  3. Step 3: Cross multiply
    308,231.49x = 462,384.60 × 108,511.01
  4. Step 4: Simplify right side
    308,231.49x = 50,173,817,642.52
  5. Step 5: Solve for x
    x = 50,173,817,642.52/308,231.49
  6. Step 6: Final answer
    x = 162,779.66

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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.