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Finding the Fourth Proportional to 447,668.82, 671,736.51 and 198,292.50

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Solution

The fourth proportional to 447,668.82, 671,736.51 and 198,292.50 is: 297,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,668.82 : 671,736.51 = 198,292.50 : x
  2. Step 2: Convert to fraction form
    447,668.82/671,736.51 = 198,292.50/x
  3. Step 3: Cross multiply
    447,668.82x = 671,736.51 × 198,292.50
  4. Step 4: Simplify right side
    447,668.82x = 133,200,311,909.18
  5. Step 5: Solve for x
    x = 133,200,311,909.18/447,668.82
  6. Step 6: Final answer
    x = 297,542.08

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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.