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Finding the Fourth Proportional to 310,704.36, 428,767.92 and 174,738.27

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Solution

The fourth proportional to 310,704.36, 428,767.92 and 174,738.27 is: 241,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,704.36 : 428,767.92 = 174,738.27 : x
  2. Step 2: Convert to fraction form
    310,704.36/428,767.92 = 174,738.27/x
  3. Step 3: Cross multiply
    310,704.36x = 428,767.92 × 174,738.27
  4. Step 4: Simplify right side
    310,704.36x = 74,922,164,572.30
  5. Step 5: Solve for x
    x = 74,922,164,572.30/310,704.36
  6. Step 6: Final answer
    x = 241,136.51

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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.