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Finding the Fourth Proportional to 318,867.85, 478,329.31 and 82,208.53

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Solution

The fourth proportional to 318,867.85, 478,329.31 and 82,208.53 is: 123,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,867.85 : 478,329.31 = 82,208.53 : x
  2. Step 2: Convert to fraction form
    318,867.85/478,329.31 = 82,208.53/x
  3. Step 3: Cross multiply
    318,867.85x = 478,329.31 × 82,208.53
  4. Step 4: Simplify right side
    318,867.85x = 39,322,749,225.49
  5. Step 5: Solve for x
    x = 39,322,749,225.49/318,867.85
  6. Step 6: Final answer
    x = 123,319.89

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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.