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Finding the Fourth Proportional to 406,736.64, 610,104.96 and 140,503.68

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Solution

The fourth proportional to 406,736.64, 610,104.96 and 140,503.68 is: 210,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,736.64 : 610,104.96 = 140,503.68 : x
  2. Step 2: Convert to fraction form
    406,736.64/610,104.96 = 140,503.68/x
  3. Step 3: Cross multiply
    406,736.64x = 610,104.96 × 140,503.68
  4. Step 4: Simplify right side
    406,736.64x = 85,721,992,066.25
  5. Step 5: Solve for x
    x = 85,721,992,066.25/406,736.64
  6. Step 6: Final answer
    x = 210,755.52

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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.