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Finding the Fourth Proportional to 511,081.29, 705,296.84 and 281,646.81

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Solution

The fourth proportional to 511,081.29, 705,296.84 and 281,646.81 is: 388,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,081.29 : 705,296.84 = 281,646.81 : x
  2. Step 2: Convert to fraction form
    511,081.29/705,296.84 = 281,646.81/x
  3. Step 3: Cross multiply
    511,081.29x = 705,296.84 × 281,646.81
  4. Step 4: Simplify right side
    511,081.29x = 198,644,603,148.33
  5. Step 5: Solve for x
    x = 198,644,603,148.33/511,081.29
  6. Step 6: Final answer
    x = 388,675.16

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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.