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Finding the Fourth Proportional to 511,352.48, 705,708.42 and 281,930.78

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Solution

The fourth proportional to 511,352.48, 705,708.42 and 281,930.78 is: 389,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,352.48 : 705,708.42 = 281,930.78 : x
  2. Step 2: Convert to fraction form
    511,352.48/705,708.42 = 281,930.78/x
  3. Step 3: Cross multiply
    511,352.48x = 705,708.42 × 281,930.78
  4. Step 4: Simplify right side
    511,352.48x = 198,960,925,303.17
  5. Step 5: Solve for x
    x = 198,960,925,303.17/511,352.48
  6. Step 6: Final answer
    x = 389,087.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.