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Finding the Fourth Proportional to 540,116.70, 809,656.65 and 420,107.10

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Solution

The fourth proportional to 540,116.70, 809,656.65 and 420,107.10 is: 629,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,116.70 : 809,656.65 = 420,107.10 : x
  2. Step 2: Convert to fraction form
    540,116.70/809,656.65 = 420,107.10/x
  3. Step 3: Cross multiply
    540,116.70x = 809,656.65 × 420,107.10
  4. Step 4: Simplify right side
    540,116.70x = 340,142,507,227.22
  5. Step 5: Solve for x
    x = 340,142,507,227.22/540,116.70
  6. Step 6: Final answer
    x = 629,757.43

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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.