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Finding the Fourth Proportional to 502,536.23, 693,661.61 and 321,735.11

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Solution

The fourth proportional to 502,536.23, 693,661.61 and 321,735.11 is: 444,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,536.23 : 693,661.61 = 321,735.11 : x
  2. Step 2: Convert to fraction form
    502,536.23/693,661.61 = 321,735.11/x
  3. Step 3: Cross multiply
    502,536.23x = 693,661.61 × 321,735.11
  4. Step 4: Simplify right side
    502,536.23x = 223,175,297,132.49
  5. Step 5: Solve for x
    x = 223,175,297,132.49/502,536.23
  6. Step 6: Final answer
    x = 444,097.93

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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.