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Finding the Fourth Proportional to 450,705.42, 622,394.94 and 289,839.82

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Solution

The fourth proportional to 450,705.42, 622,394.94 and 289,839.82 is: 400,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,705.42 : 622,394.94 = 289,839.82 : x
  2. Step 2: Convert to fraction form
    450,705.42/622,394.94 = 289,839.82/x
  3. Step 3: Cross multiply
    450,705.42x = 622,394.94 × 289,839.82
  4. Step 4: Simplify right side
    450,705.42x = 180,394,837,378.51
  5. Step 5: Solve for x
    x = 180,394,837,378.51/450,705.42
  6. Step 6: Final answer
    x = 400,249.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.