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Finding the Fourth Proportional to 511,944.08, 706,609.32 and 310,908.56

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Solution

The fourth proportional to 511,944.08, 706,609.32 and 310,908.56 is: 429,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,944.08 : 706,609.32 = 310,908.56 : x
  2. Step 2: Convert to fraction form
    511,944.08/706,609.32 = 310,908.56/x
  3. Step 3: Cross multiply
    511,944.08x = 706,609.32 × 310,908.56
  4. Step 4: Simplify right side
    511,944.08x = 219,690,886,163.78
  5. Step 5: Solve for x
    x = 219,690,886,163.78/511,944.08
  6. Step 6: Final answer
    x = 429,130.63

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Why These Related Problems?

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