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Finding the Fourth Proportional to 511,525.82, 705,911 and 282,091.29

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Solution

The fourth proportional to 511,525.82, 705,911 and 282,091.29 is: 389,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,525.82 : 705,911 = 282,091.29 : x
  2. Step 2: Convert to fraction form
    511,525.82/705,911 = 282,091.29/x
  3. Step 3: Cross multiply
    511,525.82x = 705,911 × 282,091.29
  4. Step 4: Simplify right side
    511,525.82x = 199,131,344,615.19
  5. Step 5: Solve for x
    x = 199,131,344,615.19/511,525.82
  6. Step 6: Final answer
    x = 389,288.94

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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.