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Finding the Fourth Proportional to 427,622.66, 641,420.76 and 203,144.66

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Solution

The fourth proportional to 427,622.66, 641,420.76 and 203,144.66 is: 304,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,622.66 : 641,420.76 = 203,144.66 : x
  2. Step 2: Convert to fraction form
    427,622.66/641,420.76 = 203,144.66/x
  3. Step 3: Cross multiply
    427,622.66x = 641,420.76 × 203,144.66
  4. Step 4: Simplify right side
    427,622.66x = 130,301,202,207.14
  5. Step 5: Solve for x
    x = 130,301,202,207.14/427,622.66
  6. Step 6: Final answer
    x = 304,710.71

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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.