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Finding the Fourth Proportional to 312,834.96, 431,709.48 and 175,012.38

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Solution

The fourth proportional to 312,834.96, 431,709.48 and 175,012.38 is: 241,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,834.96 : 431,709.48 = 175,012.38 : x
  2. Step 2: Convert to fraction form
    312,834.96/431,709.48 = 175,012.38/x
  3. Step 3: Cross multiply
    312,834.96x = 431,709.48 × 175,012.38
  4. Step 4: Simplify right side
    312,834.96x = 75,554,503,563.36
  5. Step 5: Solve for x
    x = 75,554,503,563.36/312,834.96
  6. Step 6: Final answer
    x = 241,515.54

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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.