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Finding the Fourth Proportional to 428,938.80, 643,408.20 and 329,600.40

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Solution

The fourth proportional to 428,938.80, 643,408.20 and 329,600.40 is: 494,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,938.80 : 643,408.20 = 329,600.40 : x
  2. Step 2: Convert to fraction form
    428,938.80/643,408.20 = 329,600.40/x
  3. Step 3: Cross multiply
    428,938.80x = 643,408.20 × 329,600.40
  4. Step 4: Simplify right side
    428,938.80x = 212,067,600,083.28
  5. Step 5: Solve for x
    x = 212,067,600,083.28/428,938.80
  6. Step 6: Final answer
    x = 494,400.60

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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.