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Finding the Fourth Proportional to 500,463.96, 690,640.64 and 271,023.04

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Solution

The fourth proportional to 500,463.96, 690,640.64 and 271,023.04 is: 374,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,463.96 : 690,640.64 = 271,023.04 : x
  2. Step 2: Convert to fraction form
    500,463.96/690,640.64 = 271,023.04/x
  3. Step 3: Cross multiply
    500,463.96x = 690,640.64 × 271,023.04
  4. Step 4: Simplify right side
    500,463.96x = 187,179,525,800.35
  5. Step 5: Solve for x
    x = 187,179,525,800.35/500,463.96
  6. Step 6: Final answer
    x = 374,012.00

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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.