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Finding the Fourth Proportional to 313,627.80, 469,923.30 and 266,971.80

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Solution

The fourth proportional to 313,627.80, 469,923.30 and 266,971.80 is: 400,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,627.80 : 469,923.30 = 266,971.80 : x
  2. Step 2: Convert to fraction form
    313,627.80/469,923.30 = 266,971.80/x
  3. Step 3: Cross multiply
    313,627.80x = 469,923.30 × 266,971.80
  4. Step 4: Simplify right side
    313,627.80x = 125,456,269,262.94
  5. Step 5: Solve for x
    x = 125,456,269,262.94/313,627.80
  6. Step 6: Final answer
    x = 400,016.42

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1.5x scale

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.