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Finding the Fourth Proportional to 397,670.94, 596,441.97 and 127,786.32

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Solution

The fourth proportional to 397,670.94, 596,441.97 and 127,786.32 is: 191,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,670.94 : 596,441.97 = 127,786.32 : x
  2. Step 2: Convert to fraction form
    397,670.94/596,441.97 = 127,786.32/x
  3. Step 3: Cross multiply
    397,670.94x = 596,441.97 × 127,786.32
  4. Step 4: Simplify right side
    397,670.94x = 76,217,124,439.85
  5. Step 5: Solve for x
    x = 76,217,124,439.85/397,670.94
  6. Step 6: Final answer
    x = 191,658.77

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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.