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Finding the Fourth Proportional to 414,539.80, 621,809.70 and 381,880.60

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Solution

The fourth proportional to 414,539.80, 621,809.70 and 381,880.60 is: 572,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,539.80 : 621,809.70 = 381,880.60 : x
  2. Step 2: Convert to fraction form
    414,539.80/621,809.70 = 381,880.60/x
  3. Step 3: Cross multiply
    414,539.80x = 621,809.70 × 381,880.60
  4. Step 4: Simplify right side
    414,539.80x = 237,457,061,321.82
  5. Step 5: Solve for x
    x = 237,457,061,321.82/414,539.80
  6. Step 6: Final answer
    x = 572,820.90

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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.