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Finding the Fourth Proportional to 447,699.82, 671,783.02 and 198,323.50

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Solution

The fourth proportional to 447,699.82, 671,783.02 and 198,323.50 is: 297,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,699.82 : 671,783.02 = 198,323.50 : x
  2. Step 2: Convert to fraction form
    447,699.82/671,783.02 = 198,323.50/x
  3. Step 3: Cross multiply
    447,699.82x = 671,783.02 × 198,323.50
  4. Step 4: Simplify right side
    447,699.82x = 133,230,359,766.97
  5. Step 5: Solve for x
    x = 133,230,359,766.97/447,699.82
  6. Step 6: Final answer
    x = 297,588.59

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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.