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Finding the Fourth Proportional to 465,728, 642,704.64 and 253,760

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Solution

The fourth proportional to 465,728, 642,704.64 and 253,760 is: 350,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,728 : 642,704.64 = 253,760 : x
  2. Step 2: Convert to fraction form
    465,728/642,704.64 = 253,760/x
  3. Step 3: Cross multiply
    465,728x = 642,704.64 × 253,760
  4. Step 4: Simplify right side
    465,728x = 163,092,729,446.40
  5. Step 5: Solve for x
    x = 163,092,729,446.40/465,728
  6. Step 6: Final answer
    x = 350,188.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.