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Finding the Fourth Proportional to 306,005.80, 458,879.10 and 148,282.60

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Solution

The fourth proportional to 306,005.80, 458,879.10 and 148,282.60 is: 222,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,005.80 : 458,879.10 = 148,282.60 : x
  2. Step 2: Convert to fraction form
    306,005.80/458,879.10 = 148,282.60/x
  3. Step 3: Cross multiply
    306,005.80x = 458,879.10 × 148,282.60
  4. Step 4: Simplify right side
    306,005.80x = 68,043,786,033.66
  5. Step 5: Solve for x
    x = 68,043,786,033.66/306,005.80
  6. Step 6: Final answer
    x = 222,361.10

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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.