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Finding the Fourth Proportional to 511,669.92, 767,764.08 and 345,108

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Solution

The fourth proportional to 511,669.92, 767,764.08 and 345,108 is: 517,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,669.92 : 767,764.08 = 345,108 : x
  2. Step 2: Convert to fraction form
    511,669.92/767,764.08 = 345,108/x
  3. Step 3: Cross multiply
    511,669.92x = 767,764.08 × 345,108
  4. Step 4: Simplify right side
    511,669.92x = 264,961,526,120.64
  5. Step 5: Solve for x
    x = 264,961,526,120.64/511,669.92
  6. Step 6: Final answer
    x = 517,836.82

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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.