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Finding the Fourth Proportional to 489,232.60, 733,848.90 and 419,248.60

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Solution

The fourth proportional to 489,232.60, 733,848.90 and 419,248.60 is: 628,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,232.60 : 733,848.90 = 419,248.60 : x
  2. Step 2: Convert to fraction form
    489,232.60/733,848.90 = 419,248.60/x
  3. Step 3: Cross multiply
    489,232.60x = 733,848.90 × 419,248.60
  4. Step 4: Simplify right side
    489,232.60x = 307,665,123,936.54
  5. Step 5: Solve for x
    x = 307,665,123,936.54/489,232.60
  6. Step 6: Final answer
    x = 628,872.90

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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.