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Finding the Fourth Proportional to 397,538.28, 596,312.28 and 220,391.28

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Solution

The fourth proportional to 397,538.28, 596,312.28 and 220,391.28 is: 330,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,538.28 : 596,312.28 = 220,391.28 : x
  2. Step 2: Convert to fraction form
    397,538.28/596,312.28 = 220,391.28/x
  3. Step 3: Cross multiply
    397,538.28x = 596,312.28 × 220,391.28
  4. Step 4: Simplify right side
    397,538.28x = 131,422,026,668.92
  5. Step 5: Solve for x
    x = 131,422,026,668.92/397,538.28
  6. Step 6: Final answer
    x = 330,589.61

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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.