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Finding the Fourth Proportional to 355,950.58, 491,234.61 and 205,044.98

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Solution

The fourth proportional to 355,950.58, 491,234.61 and 205,044.98 is: 282,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,950.58 : 491,234.61 = 205,044.98 : x
  2. Step 2: Convert to fraction form
    355,950.58/491,234.61 = 205,044.98/x
  3. Step 3: Cross multiply
    355,950.58x = 491,234.61 × 205,044.98
  4. Step 4: Simplify right side
    355,950.58x = 100,725,190,782.76
  5. Step 5: Solve for x
    x = 100,725,190,782.76/355,950.58
  6. Step 6: Final answer
    x = 282,975.21

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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.