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Finding the Fourth Proportional to 234,576, 323,714.88 and 128,592

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Solution

The fourth proportional to 234,576, 323,714.88 and 128,592 is: 177,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,576 : 323,714.88 = 128,592 : x
  2. Step 2: Convert to fraction form
    234,576/323,714.88 = 128,592/x
  3. Step 3: Cross multiply
    234,576x = 323,714.88 × 128,592
  4. Step 4: Simplify right side
    234,576x = 41,627,143,848.96
  5. Step 5: Solve for x
    x = 41,627,143,848.96/234,576
  6. Step 6: Final answer
    x = 177,456.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.