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Finding the Fourth Proportional to 428,205.60, 642,308.40 and 269,920.80

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Solution

The fourth proportional to 428,205.60, 642,308.40 and 269,920.80 is: 404,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,205.60 : 642,308.40 = 269,920.80 : x
  2. Step 2: Convert to fraction form
    428,205.60/642,308.40 = 269,920.80/x
  3. Step 3: Cross multiply
    428,205.60x = 642,308.40 × 269,920.80
  4. Step 4: Simplify right side
    428,205.60x = 173,372,397,174.72
  5. Step 5: Solve for x
    x = 173,372,397,174.72/428,205.60
  6. Step 6: Final answer
    x = 404,881.20

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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.