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Finding the Fourth Proportional to 511,880.40, 767,813.40 and 231,397.20

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Solution

The fourth proportional to 511,880.40, 767,813.40 and 231,397.20 is: 347,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,880.40 : 767,813.40 = 231,397.20 : x
  2. Step 2: Convert to fraction form
    511,880.40/767,813.40 = 231,397.20/x
  3. Step 3: Cross multiply
    511,880.40x = 767,813.40 × 231,397.20
  4. Step 4: Simplify right side
    511,880.40x = 177,669,870,882.48
  5. Step 5: Solve for x
    x = 177,669,870,882.48/511,880.40
  6. Step 6: Final answer
    x = 347,092.55

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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.