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Finding the Fourth Proportional to 427,620.66, 641,417.76 and 203,142.66

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Solution

The fourth proportional to 427,620.66, 641,417.76 and 203,142.66 is: 304,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,620.66 : 641,417.76 = 203,142.66 : x
  2. Step 2: Convert to fraction form
    427,620.66/641,417.76 = 203,142.66/x
  3. Step 3: Cross multiply
    427,620.66x = 641,417.76 × 203,142.66
  4. Step 4: Simplify right side
    427,620.66x = 130,299,309,937.64
  5. Step 5: Solve for x
    x = 130,299,309,937.64/427,620.66
  6. Step 6: Final answer
    x = 304,707.71

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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.