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Finding the Fourth Proportional to 419,123.84, 628,679.61 and 103,580.73

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Solution

The fourth proportional to 419,123.84, 628,679.61 and 103,580.73 is: 155,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,123.84 : 628,679.61 = 103,580.73 : x
  2. Step 2: Convert to fraction form
    419,123.84/628,679.61 = 103,580.73/x
  3. Step 3: Cross multiply
    419,123.84x = 628,679.61 × 103,580.73
  4. Step 4: Simplify right side
    419,123.84x = 65,119,092,939.92
  5. Step 5: Solve for x
    x = 65,119,092,939.92/419,123.84
  6. Step 6: Final answer
    x = 155,369.58

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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.