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Finding the Fourth Proportional to 511,524.32, 705,908.93 and 282,089.79

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Solution

The fourth proportional to 511,524.32, 705,908.93 and 282,089.79 is: 389,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,524.32 : 705,908.93 = 282,089.79 : x
  2. Step 2: Convert to fraction form
    511,524.32/705,908.93 = 282,089.79/x
  3. Step 3: Cross multiply
    511,524.32x = 705,908.93 × 282,089.79
  4. Step 4: Simplify right side
    511,524.32x = 199,129,700,412.38
  5. Step 5: Solve for x
    x = 199,129,700,412.38/511,524.32
  6. Step 6: Final answer
    x = 389,286.87

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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.