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Finding the Fourth Proportional to 428,257.82, 642,677.42 and 228,721.41

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Solution

The fourth proportional to 428,257.82, 642,677.42 and 228,721.41 is: 343,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,257.82 : 642,677.42 = 228,721.41 : x
  2. Step 2: Convert to fraction form
    428,257.82/642,677.42 = 228,721.41/x
  3. Step 3: Cross multiply
    428,257.82x = 642,677.42 × 228,721.41
  4. Step 4: Simplify right side
    428,257.82x = 146,994,084,533.96
  5. Step 5: Solve for x
    x = 146,994,084,533.96/428,257.82
  6. Step 6: Final answer
    x = 343,237.37

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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.