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Finding the Fourth Proportional to 354,408.48, 531,011.02 and 213,871.84

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Solution

The fourth proportional to 354,408.48, 531,011.02 and 213,871.84 is: 320,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,408.48 : 531,011.02 = 213,871.84 : x
  2. Step 2: Convert to fraction form
    354,408.48/531,011.02 = 213,871.84/x
  3. Step 3: Cross multiply
    354,408.48x = 531,011.02 × 213,871.84
  4. Step 4: Simplify right side
    354,408.48x = 113,568,303,907.68
  5. Step 5: Solve for x
    x = 113,568,303,907.68/354,408.48
  6. Step 6: Final answer
    x = 320,444.66

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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.