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Finding the Fourth Proportional to 513,541.31, 770,494.28 and 229,205.97

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Solution

The fourth proportional to 513,541.31, 770,494.28 and 229,205.97 is: 343,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,541.31 : 770,494.28 = 229,205.97 : x
  2. Step 2: Convert to fraction form
    513,541.31/770,494.28 = 229,205.97/x
  3. Step 3: Cross multiply
    513,541.31x = 770,494.28 × 229,205.97
  4. Step 4: Simplify right side
    513,541.31x = 176,601,887,680.82
  5. Step 5: Solve for x
    x = 176,601,887,680.82/513,541.31
  6. Step 6: Final answer
    x = 343,890.33

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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.