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Finding the Fourth Proportional to 492,775.30, 739,162.95 and 442,911.70

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Solution

The fourth proportional to 492,775.30, 739,162.95 and 442,911.70 is: 664,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,775.30 : 739,162.95 = 442,911.70 : x
  2. Step 2: Convert to fraction form
    492,775.30/739,162.95 = 442,911.70/x
  3. Step 3: Cross multiply
    492,775.30x = 739,162.95 × 442,911.70
  4. Step 4: Simplify right side
    492,775.30x = 327,383,918,761.52
  5. Step 5: Solve for x
    x = 327,383,918,761.52/492,775.30
  6. Step 6: Final answer
    x = 664,367.55

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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.