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Finding the Fourth Proportional to 406,741.92, 610,125.72 and 140,517.60

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Solution

The fourth proportional to 406,741.92, 610,125.72 and 140,517.60 is: 210,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,741.92 : 610,125.72 = 140,517.60 : x
  2. Step 2: Convert to fraction form
    406,741.92/610,125.72 = 140,517.60/x
  3. Step 3: Cross multiply
    406,741.92x = 610,125.72 × 140,517.60
  4. Step 4: Simplify right side
    406,741.92x = 85,733,401,872.67
  5. Step 5: Solve for x
    x = 85,733,401,872.67/406,741.92
  6. Step 6: Final answer
    x = 210,780.84

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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.