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Finding the Fourth Proportional to 343,861.44, 515,733.12 and 91,144.32

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Solution

The fourth proportional to 343,861.44, 515,733.12 and 91,144.32 is: 136,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,861.44 : 515,733.12 = 91,144.32 : x
  2. Step 2: Convert to fraction form
    343,861.44/515,733.12 = 91,144.32/x
  3. Step 3: Cross multiply
    343,861.44x = 515,733.12 × 91,144.32
  4. Step 4: Simplify right side
    343,861.44x = 47,006,144,523.88
  5. Step 5: Solve for x
    x = 47,006,144,523.88/343,861.44
  6. Step 6: Final answer
    x = 136,700.83

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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.