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Finding the Fourth Proportional to 449,194.50, 619,817.94 and 258,172.20

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Solution

The fourth proportional to 449,194.50, 619,817.94 and 258,172.20 is: 356,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,194.50 : 619,817.94 = 258,172.20 : x
  2. Step 2: Convert to fraction form
    449,194.50/619,817.94 = 258,172.20/x
  3. Step 3: Cross multiply
    449,194.50x = 619,817.94 × 258,172.20
  4. Step 4: Simplify right side
    449,194.50x = 160,019,761,169.27
  5. Step 5: Solve for x
    x = 160,019,761,169.27/449,194.50
  6. Step 6: Final answer
    x = 356,237.13

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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.