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Finding the Fourth Proportional to 318,302.34, 477,453.63 and 81,645

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Solution

The fourth proportional to 318,302.34, 477,453.63 and 81,645 is: 122,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,302.34 : 477,453.63 = 81,645 : x
  2. Step 2: Convert to fraction form
    318,302.34/477,453.63 = 81,645/x
  3. Step 3: Cross multiply
    318,302.34x = 477,453.63 × 81,645
  4. Step 4: Simplify right side
    318,302.34x = 38,981,701,621.35
  5. Step 5: Solve for x
    x = 38,981,701,621.35/318,302.34
  6. Step 6: Final answer
    x = 122,467.53

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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.