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Finding the Fourth Proportional to 414,563.40, 621,480.60 and 281,010.60

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Solution

The fourth proportional to 414,563.40, 621,480.60 and 281,010.60 is: 421,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,563.40 : 621,480.60 = 281,010.60 : x
  2. Step 2: Convert to fraction form
    414,563.40/621,480.60 = 281,010.60/x
  3. Step 3: Cross multiply
    414,563.40x = 621,480.60 × 281,010.60
  4. Step 4: Simplify right side
    414,563.40x = 174,642,636,294.36
  5. Step 5: Solve for x
    x = 174,642,636,294.36/414,563.40
  6. Step 6: Final answer
    x = 421,268.82

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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.