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Finding the Fourth Proportional to 264,905.40, 397,221.30 and 77,892.60

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Solution

The fourth proportional to 264,905.40, 397,221.30 and 77,892.60 is: 116,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,905.40 : 397,221.30 = 77,892.60 : x
  2. Step 2: Convert to fraction form
    264,905.40/397,221.30 = 77,892.60/x
  3. Step 3: Cross multiply
    264,905.40x = 397,221.30 × 77,892.60
  4. Step 4: Simplify right side
    264,905.40x = 30,940,599,832.38
  5. Step 5: Solve for x
    x = 30,940,599,832.38/264,905.40
  6. Step 6: Final answer
    x = 116,798.68

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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.