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Finding the Fourth Proportional to 806,418.40, 1,209,773.40 and 406,051.60

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Solution

The fourth proportional to 806,418.40, 1,209,773.40 and 406,051.60 is: 609,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,418.40 : 1,209,773.40 = 406,051.60 : x
  2. Step 2: Convert to fraction form
    806,418.40/1,209,773.40 = 406,051.60/x
  3. Step 3: Cross multiply
    806,418.40x = 1,209,773.40 × 406,051.60
  4. Step 4: Simplify right side
    806,418.40x = 491,230,424,707.44
  5. Step 5: Solve for x
    x = 491,230,424,707.44/806,418.40
  6. Step 6: Final answer
    x = 609,150.81

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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.