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Finding the Fourth Proportional to 383,327.60, 528,992.64 and 213,567.68

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Solution

The fourth proportional to 383,327.60, 528,992.64 and 213,567.68 is: 294,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,327.60 : 528,992.64 = 213,567.68 : x
  2. Step 2: Convert to fraction form
    383,327.60/528,992.64 = 213,567.68/x
  3. Step 3: Cross multiply
    383,327.60x = 528,992.64 × 213,567.68
  4. Step 4: Simplify right side
    383,327.60x = 112,975,730,861.88
  5. Step 5: Solve for x
    x = 112,975,730,861.88/383,327.60
  6. Step 6: Final answer
    x = 294,723.71

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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.