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Finding the Fourth Proportional to 331,393.98, 457,302.06 and 195,421.44

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Solution

The fourth proportional to 331,393.98, 457,302.06 and 195,421.44 is: 269,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,393.98 : 457,302.06 = 195,421.44 : x
  2. Step 2: Convert to fraction form
    331,393.98/457,302.06 = 195,421.44/x
  3. Step 3: Cross multiply
    331,393.98x = 457,302.06 × 195,421.44
  4. Step 4: Simplify right side
    331,393.98x = 89,366,627,080.17
  5. Step 5: Solve for x
    x = 89,366,627,080.17/331,393.98
  6. Step 6: Final answer
    x = 269,668.83

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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.