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Finding the Fourth Proportional to 308,469,390.90, 462,687,789.69 and 101,180,496.48

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Solution

The fourth proportional to 308,469,390.90, 462,687,789.69 and 101,180,496.48 is: 151,765,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,469,390.90 : 462,687,789.69 = 101,180,496.48 : x
  2. Step 2: Convert to fraction form
    308,469,390.90/462,687,789.69 = 101,180,496.48/x
  3. Step 3: Cross multiply
    308,469,390.90x = 462,687,789.69 × 101,180,496.48
  4. Step 4: Simplify right side
    308,469,390.90x = 46,814,980,276,068,024
  5. Step 5: Solve for x
    x = 46,814,980,276,068,024/308,469,390.90
  6. Step 6: Final answer
    x = 151,765,399.28

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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.