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Finding the Fourth Proportional to 406,100.75, 608,485.30 and 287,559.27

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Solution

The fourth proportional to 406,100.75, 608,485.30 and 287,559.27 is: 430,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,100.75 : 608,485.30 = 287,559.27 : x
  2. Step 2: Convert to fraction form
    406,100.75/608,485.30 = 287,559.27/x
  3. Step 3: Cross multiply
    406,100.75x = 608,485.30 × 287,559.27
  4. Step 4: Simplify right side
    406,100.75x = 174,975,587,954.83
  5. Step 5: Solve for x
    x = 174,975,587,954.83/406,100.75
  6. Step 6: Final answer
    x = 430,867.44

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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.