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Finding the Fourth Proportional to 420,845, 631,569.24 and 285,571.76

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Solution

The fourth proportional to 420,845, 631,569.24 and 285,571.76 is: 428,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,845 : 631,569.24 = 285,571.76 : x
  2. Step 2: Convert to fraction form
    420,845/631,569.24 = 285,571.76/x
  3. Step 3: Cross multiply
    420,845x = 631,569.24 × 285,571.76
  4. Step 4: Simplify right side
    420,845x = 180,358,339,428.66
  5. Step 5: Solve for x
    x = 180,358,339,428.66/420,845
  6. Step 6: Final answer
    x = 428,562.39

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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.