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Finding the Fourth Proportional to 511,580.40, 767,370.60 and 405,826.80

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Solution

The fourth proportional to 511,580.40, 767,370.60 and 405,826.80 is: 608,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,580.40 : 767,370.60 = 405,826.80 : x
  2. Step 2: Convert to fraction form
    511,580.40/767,370.60 = 405,826.80/x
  3. Step 3: Cross multiply
    511,580.40x = 767,370.60 × 405,826.80
  4. Step 4: Simplify right side
    511,580.40x = 311,419,555,012.08
  5. Step 5: Solve for x
    x = 311,419,555,012.08/511,580.40
  6. Step 6: Final answer
    x = 608,740.20

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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.