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Finding the Fourth Proportional to 460,469.80, 690,704.70 and 394,039.68

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Solution

The fourth proportional to 460,469.80, 690,704.70 and 394,039.68 is: 591,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,469.80 : 690,704.70 = 394,039.68 : x
  2. Step 2: Convert to fraction form
    460,469.80/690,704.70 = 394,039.68/x
  3. Step 3: Cross multiply
    460,469.80x = 690,704.70 × 394,039.68
  4. Step 4: Simplify right side
    460,469.80x = 272,165,058,962.50
  5. Step 5: Solve for x
    x = 272,165,058,962.50/460,469.80
  6. Step 6: Final answer
    x = 591,059.52

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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.