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Finding the Fourth Proportional to 485,816.34, 670,546.62 and 331,023.54

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Solution

The fourth proportional to 485,816.34, 670,546.62 and 331,023.54 is: 456,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,816.34 : 670,546.62 = 331,023.54 : x
  2. Step 2: Convert to fraction form
    485,816.34/670,546.62 = 331,023.54/x
  3. Step 3: Cross multiply
    485,816.34x = 670,546.62 × 331,023.54
  4. Step 4: Simplify right side
    485,816.34x = 221,966,715,887.44
  5. Step 5: Solve for x
    x = 221,966,715,887.44/485,816.34
  6. Step 6: Final answer
    x = 456,894.30

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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.