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Finding the Fourth Proportional to 632,422.20, 872,748.96 and 345,936

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Solution

The fourth proportional to 632,422.20, 872,748.96 and 345,936 is: 477,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,422.20 : 872,748.96 = 345,936 : x
  2. Step 2: Convert to fraction form
    632,422.20/872,748.96 = 345,936/x
  3. Step 3: Cross multiply
    632,422.20x = 872,748.96 × 345,936
  4. Step 4: Simplify right side
    632,422.20x = 301,915,284,226.56
  5. Step 5: Solve for x
    x = 301,915,284,226.56/632,422.20
  6. Step 6: Final answer
    x = 477,395.14

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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.