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Finding the Fourth Proportional to 406,937.47, 609,786.54 and 206,958.19

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Solution

The fourth proportional to 406,937.47, 609,786.54 and 206,958.19 is: 310,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,937.47 : 609,786.54 = 206,958.19 : x
  2. Step 2: Convert to fraction form
    406,937.47/609,786.54 = 206,958.19/x
  3. Step 3: Cross multiply
    406,937.47x = 609,786.54 × 206,958.19
  4. Step 4: Simplify right side
    406,937.47x = 126,200,318,604.76
  5. Step 5: Solve for x
    x = 126,200,318,604.76/406,937.47
  6. Step 6: Final answer
    x = 310,122.14

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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.