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Finding the Fourth Proportional to 397,706.12, 596,472.78 and 131,403.56

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Solution

The fourth proportional to 397,706.12, 596,472.78 and 131,403.56 is: 197,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,706.12 : 596,472.78 = 131,403.56 : x
  2. Step 2: Convert to fraction form
    397,706.12/596,472.78 = 131,403.56/x
  3. Step 3: Cross multiply
    397,706.12x = 596,472.78 × 131,403.56
  4. Step 4: Simplify right side
    397,706.12x = 78,378,646,735.10
  5. Step 5: Solve for x
    x = 78,378,646,735.10/397,706.12
  6. Step 6: Final answer
    x = 197,076.79

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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.