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Finding the Fourth Proportional to 406,398.52, 609,972 and 206,861.50

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Solution

The fourth proportional to 406,398.52, 609,972 and 206,861.50 is: 310,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,398.52 : 609,972 = 206,861.50 : x
  2. Step 2: Convert to fraction form
    406,398.52/609,972 = 206,861.50/x
  3. Step 3: Cross multiply
    406,398.52x = 609,972 × 206,861.50
  4. Step 4: Simplify right side
    406,398.52x = 126,179,722,878
  5. Step 5: Solve for x
    x = 126,179,722,878/406,398.52
  6. Step 6: Final answer
    x = 310,482.73

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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.