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Finding the Fourth Proportional to 406,431.80, 608,991.60 and 256,403.60

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Solution

The fourth proportional to 406,431.80, 608,991.60 and 256,403.60 is: 384,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,431.80 : 608,991.60 = 256,403.60 : x
  2. Step 2: Convert to fraction form
    406,431.80/608,991.60 = 256,403.60/x
  3. Step 3: Cross multiply
    406,431.80x = 608,991.60 × 256,403.60
  4. Step 4: Simplify right side
    406,431.80x = 156,147,638,609.76
  5. Step 5: Solve for x
    x = 156,147,638,609.76/406,431.80
  6. Step 6: Final answer
    x = 384,191.49

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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.