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Finding the Fourth Proportional to 512,091.45, 707,019.07 and 458,283.96

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Solution

The fourth proportional to 512,091.45, 707,019.07 and 458,283.96 is: 632,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,091.45 : 707,019.07 = 458,283.96 : x
  2. Step 2: Convert to fraction form
    512,091.45/707,019.07 = 458,283.96/x
  3. Step 3: Cross multiply
    512,091.45x = 707,019.07 × 458,283.96
  4. Step 4: Simplify right side
    512,091.45x = 324,015,499,195.12
  5. Step 5: Solve for x
    x = 324,015,499,195.12/512,091.45
  6. Step 6: Final answer
    x = 632,729.76

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