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Finding the Fourth Proportional to 406,958.88, 610,241.34 and 140,625.96

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Solution

The fourth proportional to 406,958.88, 610,241.34 and 140,625.96 is: 210,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,958.88 : 610,241.34 = 140,625.96 : x
  2. Step 2: Convert to fraction form
    406,958.88/610,241.34 = 140,625.96/x
  3. Step 3: Cross multiply
    406,958.88x = 610,241.34 × 140,625.96
  4. Step 4: Simplify right side
    406,958.88x = 85,815,774,269.19
  5. Step 5: Solve for x
    x = 85,815,774,269.19/406,958.88
  6. Step 6: Final answer
    x = 210,870.87

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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.