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Finding the Fourth Proportional to 511,081.13, 705,282.45 and 281,659.67

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Solution

The fourth proportional to 511,081.13, 705,282.45 and 281,659.67 is: 388,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,081.13 : 705,282.45 = 281,659.67 : x
  2. Step 2: Convert to fraction form
    511,081.13/705,282.45 = 281,659.67/x
  3. Step 3: Cross multiply
    511,081.13x = 705,282.45 × 281,659.67
  4. Step 4: Simplify right side
    511,081.13x = 198,649,622,123.79
  5. Step 5: Solve for x
    x = 198,649,622,123.79/511,081.13
  6. Step 6: Final answer
    x = 388,685.10

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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.