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Finding the Fourth Proportional to 313,815.60, 433,164.60 and 200,638.80

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Solution

The fourth proportional to 313,815.60, 433,164.60 and 200,638.80 is: 276,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,815.60 : 433,164.60 = 200,638.80 : x
  2. Step 2: Convert to fraction form
    313,815.60/433,164.60 = 200,638.80/x
  3. Step 3: Cross multiply
    313,815.60x = 433,164.60 × 200,638.80
  4. Step 4: Simplify right side
    313,815.60x = 86,909,625,546.48
  5. Step 5: Solve for x
    x = 86,909,625,546.48/313,815.60
  6. Step 6: Final answer
    x = 276,944.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.