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Finding the Fourth Proportional to 345,861.96, 519,026.30 and 135,473.64

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Solution

The fourth proportional to 345,861.96, 519,026.30 and 135,473.64 is: 203,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,861.96 : 519,026.30 = 135,473.64 : x
  2. Step 2: Convert to fraction form
    345,861.96/519,026.30 = 135,473.64/x
  3. Step 3: Cross multiply
    345,861.96x = 519,026.30 × 135,473.64
  4. Step 4: Simplify right side
    345,861.96x = 70,314,382,116.73
  5. Step 5: Solve for x
    x = 70,314,382,116.73/345,861.96
  6. Step 6: Final answer
    x = 203,301.87

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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.