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Finding the Fourth Proportional to 298,576.80, 447,260.40 and 185,911.20

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Solution

The fourth proportional to 298,576.80, 447,260.40 and 185,911.20 is: 278,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576.80 : 447,260.40 = 185,911.20 : x
  2. Step 2: Convert to fraction form
    298,576.80/447,260.40 = 185,911.20/x
  3. Step 3: Cross multiply
    298,576.80x = 447,260.40 × 185,911.20
  4. Step 4: Simplify right side
    298,576.80x = 83,150,717,676.48
  5. Step 5: Solve for x
    x = 83,150,717,676.48/298,576.80
  6. Step 6: Final answer
    x = 278,490.22

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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.