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Finding the Fourth Proportional to 511,499.12, 705,910.80 and 282,101.28

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Solution

The fourth proportional to 511,499.12, 705,910.80 and 282,101.28 is: 389,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,499.12 : 705,910.80 = 282,101.28 : x
  2. Step 2: Convert to fraction form
    511,499.12/705,910.80 = 282,101.28/x
  3. Step 3: Cross multiply
    511,499.12x = 705,910.80 × 282,101.28
  4. Step 4: Simplify right side
    511,499.12x = 199,138,340,245.82
  5. Step 5: Solve for x
    x = 199,138,340,245.82/511,499.12
  6. Step 6: Final answer
    x = 389,322.94

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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.