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Finding the Fourth Proportional to 230,728.56, 318,406.50 and 128,758.56

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Solution

The fourth proportional to 230,728.56, 318,406.50 and 128,758.56 is: 177,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,728.56 : 318,406.50 = 128,758.56 : x
  2. Step 2: Convert to fraction form
    230,728.56/318,406.50 = 128,758.56/x
  3. Step 3: Cross multiply
    230,728.56x = 318,406.50 × 128,758.56
  4. Step 4: Simplify right side
    230,728.56x = 40,997,562,434.64
  5. Step 5: Solve for x
    x = 40,997,562,434.64/230,728.56
  6. Step 6: Final answer
    x = 177,687.42

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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.