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Finding the Fourth Proportional to 318,434.95, 477,657.30 and 81,772.39

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Solution

The fourth proportional to 318,434.95, 477,657.30 and 81,772.39 is: 122,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,434.95 : 477,657.30 = 81,772.39 : x
  2. Step 2: Convert to fraction form
    318,434.95/477,657.30 = 81,772.39/x
  3. Step 3: Cross multiply
    318,434.95x = 477,657.30 × 81,772.39
  4. Step 4: Simplify right side
    318,434.95x = 39,059,179,021.95
  5. Step 5: Solve for x
    x = 39,059,179,021.95/318,434.95
  6. Step 6: Final answer
    x = 122,659.84

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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.