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Finding the Fourth Proportional to 313,878.40, 433,109.76 and 200,620.80

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Solution

The fourth proportional to 313,878.40, 433,109.76 and 200,620.80 is: 276,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,878.40 : 433,109.76 = 200,620.80 : x
  2. Step 2: Convert to fraction form
    313,878.40/433,109.76 = 200,620.80/x
  3. Step 3: Cross multiply
    313,878.40x = 433,109.76 × 200,620.80
  4. Step 4: Simplify right side
    313,878.40x = 86,890,826,539.01
  5. Step 5: Solve for x
    x = 86,890,826,539.01/313,878.40
  6. Step 6: Final answer
    x = 276,829.58

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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.