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Finding the Fourth Proportional to 447,076.98, 669,715.83 and 206,852.58

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Solution

The fourth proportional to 447,076.98, 669,715.83 and 206,852.58 is: 309,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,076.98 : 669,715.83 = 206,852.58 : x
  2. Step 2: Convert to fraction form
    447,076.98/669,715.83 = 206,852.58/x
  3. Step 3: Cross multiply
    447,076.98x = 669,715.83 × 206,852.58
  4. Step 4: Simplify right side
    447,076.98x = 138,532,447,302.34
  5. Step 5: Solve for x
    x = 138,532,447,302.34/447,076.98
  6. Step 6: Final answer
    x = 309,862.63

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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.