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Finding the Fourth Proportional to 331,756.40, 497,634.60 and 82,438.40

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Solution

The fourth proportional to 331,756.40, 497,634.60 and 82,438.40 is: 123,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,756.40 : 497,634.60 = 82,438.40 : x
  2. Step 2: Convert to fraction form
    331,756.40/497,634.60 = 82,438.40/x
  3. Step 3: Cross multiply
    331,756.40x = 497,634.60 × 82,438.40
  4. Step 4: Simplify right side
    331,756.40x = 41,024,200,208.64
  5. Step 5: Solve for x
    x = 41,024,200,208.64/331,756.40
  6. Step 6: Final answer
    x = 123,657.60

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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.