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Finding the Fourth Proportional to 689,728.58, 951,286.20 and 448,089

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Solution

The fourth proportional to 689,728.58, 951,286.20 and 448,089 is: 618,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,728.58 : 951,286.20 = 448,089 : x
  2. Step 2: Convert to fraction form
    689,728.58/951,286.20 = 448,089/x
  3. Step 3: Cross multiply
    689,728.58x = 951,286.20 × 448,089
  4. Step 4: Simplify right side
    689,728.58x = 426,260,882,071.80
  5. Step 5: Solve for x
    x = 426,260,882,071.80/689,728.58
  6. Step 6: Final answer
    x = 618,012.50

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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.