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Finding the Fourth Proportional to 511,054.29, 700,146.87 and 491,900.12

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Solution

The fourth proportional to 511,054.29, 700,146.87 and 491,900.12 is: 673,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,054.29 : 700,146.87 = 491,900.12 : x
  2. Step 2: Convert to fraction form
    511,054.29/700,146.87 = 491,900.12/x
  3. Step 3: Cross multiply
    511,054.29x = 700,146.87 × 491,900.12
  4. Step 4: Simplify right side
    511,054.29x = 344,402,325,869.89
  5. Step 5: Solve for x
    x = 344,402,325,869.89/511,054.29
  6. Step 6: Final answer
    x = 673,905.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.