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Finding the Fourth Proportional to 298,454.02, 447,698.56 and 85,205.54

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Solution

The fourth proportional to 298,454.02, 447,698.56 and 85,205.54 is: 127,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,454.02 : 447,698.56 = 85,205.54 : x
  2. Step 2: Convert to fraction form
    298,454.02/447,698.56 = 85,205.54/x
  3. Step 3: Cross multiply
    298,454.02x = 447,698.56 × 85,205.54
  4. Step 4: Simplify right side
    298,454.02x = 38,146,397,562.02
  5. Step 5: Solve for x
    x = 38,146,397,562.02/298,454.02
  6. Step 6: Final answer
    x = 127,813.31

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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.