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Finding the Fourth Proportional to 406,400.52, 609,975 and 206,863.50

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Solution

The fourth proportional to 406,400.52, 609,975 and 206,863.50 is: 310,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,400.52 : 609,975 = 206,863.50 : x
  2. Step 2: Convert to fraction form
    406,400.52/609,975 = 206,863.50/x
  3. Step 3: Cross multiply
    406,400.52x = 609,975 × 206,863.50
  4. Step 4: Simplify right side
    406,400.52x = 126,181,563,412.50
  5. Step 5: Solve for x
    x = 126,181,563,412.50/406,400.52
  6. Step 6: Final answer
    x = 310,485.73

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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.