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Finding the Fourth Proportional to 406,955.88, 610,236.84 and 140,622.96

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Solution

The fourth proportional to 406,955.88, 610,236.84 and 140,622.96 is: 210,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,955.88 : 610,236.84 = 140,622.96 : x
  2. Step 2: Convert to fraction form
    406,955.88/610,236.84 = 140,622.96/x
  3. Step 3: Cross multiply
    406,955.88x = 610,236.84 × 140,622.96
  4. Step 4: Simplify right side
    406,955.88x = 85,813,310,741.85
  5. Step 5: Solve for x
    x = 85,813,310,741.85/406,955.88
  6. Step 6: Final answer
    x = 210,866.37

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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.