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Finding the Fourth Proportional to 415,400.67, 623,105.94 and 115,863.03

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Solution

The fourth proportional to 415,400.67, 623,105.94 and 115,863.03 is: 173,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,400.67 : 623,105.94 = 115,863.03 : x
  2. Step 2: Convert to fraction form
    415,400.67/623,105.94 = 115,863.03/x
  3. Step 3: Cross multiply
    415,400.67x = 623,105.94 × 115,863.03
  4. Step 4: Simplify right side
    415,400.67x = 72,194,942,219.40
  5. Step 5: Solve for x
    x = 72,194,942,219.40/415,400.67
  6. Step 6: Final answer
    x = 173,795.92

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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.