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Finding the Fourth Proportional to 709,120.98, 978,546.96 and 403,154.82

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Solution

The fourth proportional to 709,120.98, 978,546.96 and 403,154.82 is: 556,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,120.98 : 978,546.96 = 403,154.82 : x
  2. Step 2: Convert to fraction form
    709,120.98/978,546.96 = 403,154.82/x
  3. Step 3: Cross multiply
    709,120.98x = 978,546.96 × 403,154.82
  4. Step 4: Simplify right side
    709,120.98x = 394,505,923,520.35
  5. Step 5: Solve for x
    x = 394,505,923,520.35/709,120.98
  6. Step 6: Final answer
    x = 556,330.91

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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.