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Finding the Fourth Proportional to 422,405.20, 633,607.80 and 394,411.60

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Solution

The fourth proportional to 422,405.20, 633,607.80 and 394,411.60 is: 591,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,405.20 : 633,607.80 = 394,411.60 : x
  2. Step 2: Convert to fraction form
    422,405.20/633,607.80 = 394,411.60/x
  3. Step 3: Cross multiply
    422,405.20x = 633,607.80 × 394,411.60
  4. Step 4: Simplify right side
    422,405.20x = 249,902,266,170.48
  5. Step 5: Solve for x
    x = 249,902,266,170.48/422,405.20
  6. Step 6: Final answer
    x = 591,617.40

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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.