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Finding the Fourth Proportional to 511,083.29, 705,299.60 and 281,648.81

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Solution

The fourth proportional to 511,083.29, 705,299.60 and 281,648.81 is: 388,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,083.29 : 705,299.60 = 281,648.81 : x
  2. Step 2: Convert to fraction form
    511,083.29/705,299.60 = 281,648.81/x
  3. Step 3: Cross multiply
    511,083.29x = 705,299.60 × 281,648.81
  4. Step 4: Simplify right side
    511,083.29x = 198,646,793,033.48
  5. Step 5: Solve for x
    x = 198,646,793,033.48/511,083.29
  6. Step 6: Final answer
    x = 388,677.93

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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.