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Finding the Fourth Proportional to 312,729.57, 431,563.67 and 174,907.06

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Solution

The fourth proportional to 312,729.57, 431,563.67 and 174,907.06 is: 241,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,729.57 : 431,563.67 = 174,907.06 : x
  2. Step 2: Convert to fraction form
    312,729.57/431,563.67 = 174,907.06/x
  3. Step 3: Cross multiply
    312,729.57x = 431,563.67 × 174,907.06
  4. Step 4: Simplify right side
    312,729.57x = 75,483,530,769.07
  5. Step 5: Solve for x
    x = 75,483,530,769.07/312,729.57
  6. Step 6: Final answer
    x = 241,369.98

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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.