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Finding the Fourth Proportional to 709,213.96, 978,692.74 and 403,323.56

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Solution

The fourth proportional to 709,213.96, 978,692.74 and 403,323.56 is: 556,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,213.96 : 978,692.74 = 403,323.56 : x
  2. Step 2: Convert to fraction form
    709,213.96/978,692.74 = 403,323.56/x
  3. Step 3: Cross multiply
    709,213.96x = 978,692.74 × 403,323.56
  4. Step 4: Simplify right side
    709,213.96x = 394,729,840,042.95
  5. Step 5: Solve for x
    x = 394,729,840,042.95/709,213.96
  6. Step 6: Final answer
    x = 556,573.70

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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.