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Finding the Fourth Proportional to 343,911.46, 515,889.98 and 91,188.43

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Solution

The fourth proportional to 343,911.46, 515,889.98 and 91,188.43 is: 136,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,911.46 : 515,889.98 = 91,188.43 : x
  2. Step 2: Convert to fraction form
    343,911.46/515,889.98 = 91,188.43/x
  3. Step 3: Cross multiply
    343,911.46x = 515,889.98 × 91,188.43
  4. Step 4: Simplify right side
    343,911.46x = 47,043,197,328.93
  5. Step 5: Solve for x
    x = 47,043,197,328.93/343,911.46
  6. Step 6: Final answer
    x = 136,788.69

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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.