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Finding the Fourth Proportional to 317,850.96, 477,193.12 and 213,138.48

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Solution

The fourth proportional to 317,850.96, 477,193.12 and 213,138.48 is: 319,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,850.96 : 477,193.12 = 213,138.48 : x
  2. Step 2: Convert to fraction form
    317,850.96/477,193.12 = 213,138.48/x
  3. Step 3: Cross multiply
    317,850.96x = 477,193.12 × 213,138.48
  4. Step 4: Simplify right side
    317,850.96x = 101,708,216,263.26
  5. Step 5: Solve for x
    x = 101,708,216,263.26/317,850.96
  6. Step 6: Final answer
    x = 319,987.13

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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.