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Finding the Fourth Proportional to 511,876.89, 767,815.20 and 274,893.57

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Solution

The fourth proportional to 511,876.89, 767,815.20 and 274,893.57 is: 412,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,876.89 : 767,815.20 = 274,893.57 : x
  2. Step 2: Convert to fraction form
    511,876.89/767,815.20 = 274,893.57/x
  3. Step 3: Cross multiply
    511,876.89x = 767,815.20 × 274,893.57
  4. Step 4: Simplify right side
    511,876.89x = 211,067,461,428.26
  5. Step 5: Solve for x
    x = 211,067,461,428.26/511,876.89
  6. Step 6: Final answer
    x = 412,340.28

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1.5x scale

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.