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Finding the Fourth Proportional to 511,084.77, 705,301.65 and 281,650.29

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Solution

The fourth proportional to 511,084.77, 705,301.65 and 281,650.29 is: 388,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,084.77 : 705,301.65 = 281,650.29 : x
  2. Step 2: Convert to fraction form
    511,084.77/705,301.65 = 281,650.29/x
  3. Step 3: Cross multiply
    511,084.77x = 705,301.65 × 281,650.29
  4. Step 4: Simplify right side
    511,084.77x = 198,648,409,325.22
  5. Step 5: Solve for x
    x = 198,648,409,325.22/511,084.77
  6. Step 6: Final answer
    x = 388,679.96

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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.