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Finding the Fourth Proportional to 454,069.10, 681,103.65 and 188,348.60

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Solution

The fourth proportional to 454,069.10, 681,103.65 and 188,348.60 is: 282,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,069.10 : 681,103.65 = 188,348.60 : x
  2. Step 2: Convert to fraction form
    454,069.10/681,103.65 = 188,348.60/x
  3. Step 3: Cross multiply
    454,069.10x = 681,103.65 × 188,348.60
  4. Step 4: Simplify right side
    454,069.10x = 128,284,918,932.39
  5. Step 5: Solve for x
    x = 128,284,918,932.39/454,069.10
  6. Step 6: Final answer
    x = 282,522.90

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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.