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Finding the Fourth Proportional to 427,627.72, 641,428.26 and 203,149.72

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Solution

The fourth proportional to 427,627.72, 641,428.26 and 203,149.72 is: 304,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,627.72 : 641,428.26 = 203,149.72 : x
  2. Step 2: Convert to fraction form
    427,627.72/641,428.26 = 203,149.72/x
  3. Step 3: Cross multiply
    427,627.72x = 641,428.26 × 203,149.72
  4. Step 4: Simplify right side
    427,627.72x = 130,305,971,419.09
  5. Step 5: Solve for x
    x = 130,305,971,419.09/427,627.72
  6. Step 6: Final answer
    x = 304,718.25

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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.