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Finding the Fourth Proportional to 318,742.47, 439,828.05 and 182,739

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Solution

The fourth proportional to 318,742.47, 439,828.05 and 182,739 is: 252,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,742.47 : 439,828.05 = 182,739 : x
  2. Step 2: Convert to fraction form
    318,742.47/439,828.05 = 182,739/x
  3. Step 3: Cross multiply
    318,742.47x = 439,828.05 × 182,739
  4. Step 4: Simplify right side
    318,742.47x = 80,373,738,028.95
  5. Step 5: Solve for x
    x = 80,373,738,028.95/318,742.47
  6. Step 6: Final answer
    x = 252,158.86

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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.