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Finding the Fourth Proportional to 427,607.13, 641,221.16 and 227,890.29

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Solution

The fourth proportional to 427,607.13, 641,221.16 and 227,890.29 is: 341,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,607.13 : 641,221.16 = 227,890.29 : x
  2. Step 2: Convert to fraction form
    427,607.13/641,221.16 = 227,890.29/x
  3. Step 3: Cross multiply
    427,607.13x = 641,221.16 × 227,890.29
  4. Step 4: Simplify right side
    427,607.13x = 146,128,076,106.54
  5. Step 5: Solve for x
    x = 146,128,076,106.54/427,607.13
  6. Step 6: Final answer
    x = 341,734.42

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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.