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Finding the Fourth Proportional to 517,408.80, 776,998.80 and 281,212.80

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Solution

The fourth proportional to 517,408.80, 776,998.80 and 281,212.80 is: 422,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,408.80 : 776,998.80 = 281,212.80 : x
  2. Step 2: Convert to fraction form
    517,408.80/776,998.80 = 281,212.80/x
  3. Step 3: Cross multiply
    517,408.80x = 776,998.80 × 281,212.80
  4. Step 4: Simplify right side
    517,408.80x = 218,502,008,144.64
  5. Step 5: Solve for x
    x = 218,502,008,144.64/517,408.80
  6. Step 6: Final answer
    x = 422,300.53

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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.