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Finding the Fourth Proportional to 806,668.81, 1,210,751.34 and 407,589.85

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Solution

The fourth proportional to 806,668.81, 1,210,751.34 and 407,589.85 is: 611,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,668.81 : 1,210,751.34 = 407,589.85 : x
  2. Step 2: Convert to fraction form
    806,668.81/1,210,751.34 = 407,589.85/x
  3. Step 3: Cross multiply
    806,668.81x = 1,210,751.34 × 407,589.85
  4. Step 4: Simplify right side
    806,668.81x = 493,489,957,057.90
  5. Step 5: Solve for x
    x = 493,489,957,057.90/806,668.81
  6. Step 6: Final answer
    x = 611,762.78

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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.