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Finding the Fourth Proportional to 610,861.64, 916,072.92 and 211,393.96

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Solution

The fourth proportional to 610,861.64, 916,072.92 and 211,393.96 is: 317,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,861.64 : 916,072.92 = 211,393.96 : x
  2. Step 2: Convert to fraction form
    610,861.64/916,072.92 = 211,393.96/x
  3. Step 3: Cross multiply
    610,861.64x = 916,072.92 × 211,393.96
  4. Step 4: Simplify right side
    610,861.64x = 193,652,282,207.56
  5. Step 5: Solve for x
    x = 193,652,282,207.56/610,861.64
  6. Step 6: Final answer
    x = 317,014.97

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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.