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Finding the Fourth Proportional to 435,379.87, 653,322.03 and 182,638

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Solution

The fourth proportional to 435,379.87, 653,322.03 and 182,638 is: 274,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,379.87 : 653,322.03 = 182,638 : x
  2. Step 2: Convert to fraction form
    435,379.87/653,322.03 = 182,638/x
  3. Step 3: Cross multiply
    435,379.87x = 653,322.03 × 182,638
  4. Step 4: Simplify right side
    435,379.87x = 119,321,428,915.14
  5. Step 5: Solve for x
    x = 119,321,428,915.14/435,379.87
  6. Step 6: Final answer
    x = 274,062.81

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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.