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Finding the Fourth Proportional to 406,404.02, 609,980.26 and 206,867

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Solution

The fourth proportional to 406,404.02, 609,980.26 and 206,867 is: 310,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,404.02 : 609,980.26 = 206,867 : x
  2. Step 2: Convert to fraction form
    406,404.02/609,980.26 = 206,867/x
  3. Step 3: Cross multiply
    406,404.02x = 609,980.26 × 206,867
  4. Step 4: Simplify right side
    406,404.02x = 126,184,786,445.42
  5. Step 5: Solve for x
    x = 126,184,786,445.42/406,404.02
  6. Step 6: Final answer
    x = 310,490.99

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1.5x scale

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.