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Finding the Fourth Proportional to 513,801.36, 770,707.80 and 229,506.48

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Solution

The fourth proportional to 513,801.36, 770,707.80 and 229,506.48 is: 344,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,801.36 : 770,707.80 = 229,506.48 : x
  2. Step 2: Convert to fraction form
    513,801.36/770,707.80 = 229,506.48/x
  3. Step 3: Cross multiply
    513,801.36x = 770,707.80 × 229,506.48
  4. Step 4: Simplify right side
    513,801.36x = 176,882,434,286.54
  5. Step 5: Solve for x
    x = 176,882,434,286.54/513,801.36
  6. Step 6: Final answer
    x = 344,262.29

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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.