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Finding the Fourth Proportional to 511,675.92, 767,773.08 and 345,114

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Solution

The fourth proportional to 511,675.92, 767,773.08 and 345,114 is: 517,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,675.92 : 767,773.08 = 345,114 : x
  2. Step 2: Convert to fraction form
    511,675.92/767,773.08 = 345,114/x
  3. Step 3: Cross multiply
    511,675.92x = 767,773.08 × 345,114
  4. Step 4: Simplify right side
    511,675.92x = 264,969,238,731.12
  5. Step 5: Solve for x
    x = 264,969,238,731.12/511,675.92
  6. Step 6: Final answer
    x = 517,845.82

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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.