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Finding the Fourth Proportional to 550,344.70, 824,496.45 and 312,982.30

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Solution

The fourth proportional to 550,344.70, 824,496.45 and 312,982.30 is: 468,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,344.70 : 824,496.45 = 312,982.30 : x
  2. Step 2: Convert to fraction form
    550,344.70/824,496.45 = 312,982.30/x
  3. Step 3: Cross multiply
    550,344.70x = 824,496.45 × 312,982.30
  4. Step 4: Simplify right side
    550,344.70x = 258,052,795,262.84
  5. Step 5: Solve for x
    x = 258,052,795,262.84/550,344.70
  6. Step 6: Final answer
    x = 468,893.03

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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.