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Finding the Fourth Proportional to 481,176.30, 663,978.31 and 287,545.58

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Solution

The fourth proportional to 481,176.30, 663,978.31 and 287,545.58 is: 396,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,176.30 : 663,978.31 = 287,545.58 : x
  2. Step 2: Convert to fraction form
    481,176.30/663,978.31 = 287,545.58/x
  3. Step 3: Cross multiply
    481,176.30x = 663,978.31 × 287,545.58
  4. Step 4: Simplify right side
    481,176.30x = 190,924,029,197.45
  5. Step 5: Solve for x
    x = 190,924,029,197.45/481,176.30
  6. Step 6: Final answer
    x = 396,786.02

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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.