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Finding the Fourth Proportional to 511,225.37, 705,458.92 and 281,770.04

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Solution

The fourth proportional to 511,225.37, 705,458.92 and 281,770.04 is: 388,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,225.37 : 705,458.92 = 281,770.04 : x
  2. Step 2: Convert to fraction form
    511,225.37/705,458.92 = 281,770.04/x
  3. Step 3: Cross multiply
    511,225.37x = 705,458.92 × 281,770.04
  4. Step 4: Simplify right side
    511,225.37x = 198,777,183,875.04
  5. Step 5: Solve for x
    x = 198,777,183,875.04/511,225.37
  6. Step 6: Final answer
    x = 388,824.96

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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.