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Finding the Fourth Proportional to 413,715.54, 620,257.59 and 213,908.37

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Solution

The fourth proportional to 413,715.54, 620,257.59 and 213,908.37 is: 320,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,715.54 : 620,257.59 = 213,908.37 : x
  2. Step 2: Convert to fraction form
    413,715.54/620,257.59 = 213,908.37/x
  3. Step 3: Cross multiply
    413,715.54x = 620,257.59 × 213,908.37
  4. Step 4: Simplify right side
    413,715.54x = 132,678,290,057.03
  5. Step 5: Solve for x
    x = 132,678,290,057.03/413,715.54
  6. Step 6: Final answer
    x = 320,699.31

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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.