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Finding the Fourth Proportional to 502,536.65, 693,662.19 and 321,735.54

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Solution

The fourth proportional to 502,536.65, 693,662.19 and 321,735.54 is: 444,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,536.65 : 693,662.19 = 321,735.54 : x
  2. Step 2: Convert to fraction form
    502,536.65/693,662.19 = 321,735.54/x
  3. Step 3: Cross multiply
    502,536.65x = 693,662.19 × 321,735.54
  4. Step 4: Simplify right side
    502,536.65x = 223,175,777,081.39
  5. Step 5: Solve for x
    x = 223,175,777,081.39/502,536.65
  6. Step 6: Final answer
    x = 444,098.51

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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.