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Finding the Fourth Proportional to 465,563.87, 642,457.44 and 271,989.53

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Solution

The fourth proportional to 465,563.87, 642,457.44 and 271,989.53 is: 375,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,563.87 : 642,457.44 = 271,989.53 : x
  2. Step 2: Convert to fraction form
    465,563.87/642,457.44 = 271,989.53/x
  3. Step 3: Cross multiply
    465,563.87x = 642,457.44 × 271,989.53
  4. Step 4: Simplify right side
    465,563.87x = 174,741,693,938.32
  5. Step 5: Solve for x
    x = 174,741,693,938.32/465,563.87
  6. Step 6: Final answer
    x = 375,333.45

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Why These Related Problems?

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