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Finding the Fourth Proportional to 419,136.67, 628,705.22 and 138,653.92

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Solution

The fourth proportional to 419,136.67, 628,705.22 and 138,653.92 is: 207,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,136.67 : 628,705.22 = 138,653.92 : x
  2. Step 2: Convert to fraction form
    419,136.67/628,705.22 = 138,653.92/x
  3. Step 3: Cross multiply
    419,136.67x = 628,705.22 × 138,653.92
  4. Step 4: Simplify right side
    419,136.67x = 87,172,443,277.46
  5. Step 5: Solve for x
    x = 87,172,443,277.46/419,136.67
  6. Step 6: Final answer
    x = 207,980.95

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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.