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Finding the Fourth Proportional to 318,775.01, 477,940.56 and 141,185.75

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Solution

The fourth proportional to 318,775.01, 477,940.56 and 141,185.75 is: 211,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,775.01 : 477,940.56 = 141,185.75 : x
  2. Step 2: Convert to fraction form
    318,775.01/477,940.56 = 141,185.75/x
  3. Step 3: Cross multiply
    318,775.01x = 477,940.56 × 141,185.75
  4. Step 4: Simplify right side
    318,775.01x = 67,478,394,029.32
  5. Step 5: Solve for x
    x = 67,478,394,029.32/318,775.01
  6. Step 6: Final answer
    x = 211,680.32

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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.