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Finding the Fourth Proportional to 318,584.58, 477,609.02 and 213,081.54

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Solution

The fourth proportional to 318,584.58, 477,609.02 and 213,081.54 is: 319,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,584.58 : 477,609.02 = 213,081.54 : x
  2. Step 2: Convert to fraction form
    318,584.58/477,609.02 = 213,081.54/x
  3. Step 3: Cross multiply
    318,584.58x = 477,609.02 × 213,081.54
  4. Step 4: Simplify right side
    318,584.58x = 101,769,665,499.49
  5. Step 5: Solve for x
    x = 101,769,665,499.49/318,584.58
  6. Step 6: Final answer
    x = 319,443.16

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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.