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Finding the Fourth Proportional to 414,742.70, 622,114.05 and 405,526.70

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Solution

The fourth proportional to 414,742.70, 622,114.05 and 405,526.70 is: 608,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,742.70 : 622,114.05 = 405,526.70 : x
  2. Step 2: Convert to fraction form
    414,742.70/622,114.05 = 405,526.70/x
  3. Step 3: Cross multiply
    414,742.70x = 622,114.05 × 405,526.70
  4. Step 4: Simplify right side
    414,742.70x = 252,283,857,720.14
  5. Step 5: Solve for x
    x = 252,283,857,720.14/414,742.70
  6. Step 6: Final answer
    x = 608,290.05

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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.