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Finding the Fourth Proportional to 563,012.72, 842,400.27 and 394,861.28

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Solution

The fourth proportional to 563,012.72, 842,400.27 and 394,861.28 is: 590,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,012.72 : 842,400.27 = 394,861.28 : x
  2. Step 2: Convert to fraction form
    563,012.72/842,400.27 = 394,861.28/x
  3. Step 3: Cross multiply
    563,012.72x = 842,400.27 × 394,861.28
  4. Step 4: Simplify right side
    563,012.72x = 332,631,244,672.54
  5. Step 5: Solve for x
    x = 332,631,244,672.54/563,012.72
  6. Step 6: Final answer
    x = 590,805.92

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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.