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Finding the Fourth Proportional to 308,287.48, 462,453.90 and 130,774.36

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Solution

The fourth proportional to 308,287.48, 462,453.90 and 130,774.36 is: 196,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,287.48 : 462,453.90 = 130,774.36 : x
  2. Step 2: Convert to fraction form
    308,287.48/462,453.90 = 130,774.36/x
  3. Step 3: Cross multiply
    308,287.48x = 462,453.90 × 130,774.36
  4. Step 4: Simplify right side
    308,287.48x = 60,477,112,802.00
  5. Step 5: Solve for x
    x = 60,477,112,802.00/308,287.48
  6. Step 6: Final answer
    x = 196,171.16

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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.