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Finding the Fourth Proportional to 413,999.40, 621,144.90 and 203,496.60

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Solution

The fourth proportional to 413,999.40, 621,144.90 and 203,496.60 is: 305,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.40 : 621,144.90 = 203,496.60 : x
  2. Step 2: Convert to fraction form
    413,999.40/621,144.90 = 203,496.60/x
  3. Step 3: Cross multiply
    413,999.40x = 621,144.90 × 203,496.60
  4. Step 4: Simplify right side
    413,999.40x = 126,400,875,257.34
  5. Step 5: Solve for x
    x = 126,400,875,257.34/413,999.40
  6. Step 6: Final answer
    x = 305,316.57

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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.