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Finding the Fourth Proportional to 472,939.80, 708,833.70 and 206,136.60

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Solution

The fourth proportional to 472,939.80, 708,833.70 and 206,136.60 is: 308,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,939.80 : 708,833.70 = 206,136.60 : x
  2. Step 2: Convert to fraction form
    472,939.80/708,833.70 = 206,136.60/x
  3. Step 3: Cross multiply
    472,939.80x = 708,833.70 × 206,136.60
  4. Step 4: Simplify right side
    472,939.80x = 146,116,568,883.42
  5. Step 5: Solve for x
    x = 146,116,568,883.42/472,939.80
  6. Step 6: Final answer
    x = 308,953.84

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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.