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Finding the Fourth Proportional to 551,856.70, 827,785.05 and 285,698.80

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Solution

The fourth proportional to 551,856.70, 827,785.05 and 285,698.80 is: 428,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,856.70 : 827,785.05 = 285,698.80 : x
  2. Step 2: Convert to fraction form
    551,856.70/827,785.05 = 285,698.80/x
  3. Step 3: Cross multiply
    551,856.70x = 827,785.05 × 285,698.80
  4. Step 4: Simplify right side
    551,856.70x = 236,497,195,442.94
  5. Step 5: Solve for x
    x = 236,497,195,442.94/551,856.70
  6. Step 6: Final answer
    x = 428,548.20

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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.