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Finding the Fourth Proportional to 429,539.40, 643,361.70 and 269,092.92

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Solution

The fourth proportional to 429,539.40, 643,361.70 and 269,092.92 is: 403,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,539.40 : 643,361.70 = 269,092.92 : x
  2. Step 2: Convert to fraction form
    429,539.40/643,361.70 = 269,092.92/x
  3. Step 3: Cross multiply
    429,539.40x = 643,361.70 × 269,092.92
  4. Step 4: Simplify right side
    429,539.40x = 173,124,078,469.16
  5. Step 5: Solve for x
    x = 173,124,078,469.16/429,539.40
  6. Step 6: Final answer
    x = 403,045.86

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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.