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Finding the Fourth Proportional to 647,057.13, 892,945.32 and 356,679

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Solution

The fourth proportional to 647,057.13, 892,945.32 and 356,679 is: 492,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,057.13 : 892,945.32 = 356,679 : x
  2. Step 2: Convert to fraction form
    647,057.13/892,945.32 = 356,679/x
  3. Step 3: Cross multiply
    647,057.13x = 892,945.32 × 356,679
  4. Step 4: Simplify right side
    647,057.13x = 318,494,843,792.28
  5. Step 5: Solve for x
    x = 318,494,843,792.28/647,057.13
  6. Step 6: Final answer
    x = 492,220.59

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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.