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Finding the Fourth Proportional to 493,393.01, 680,694.71 and 309,553.65

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Solution

The fourth proportional to 493,393.01, 680,694.71 and 309,553.65 is: 427,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,393.01 : 680,694.71 = 309,553.65 : x
  2. Step 2: Convert to fraction form
    493,393.01/680,694.71 = 309,553.65/x
  3. Step 3: Cross multiply
    493,393.01x = 680,694.71 × 309,553.65
  4. Step 4: Simplify right side
    493,393.01x = 210,711,530,468.42
  5. Step 5: Solve for x
    x = 210,711,530,468.42/493,393.01
  6. Step 6: Final answer
    x = 427,066.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.