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Finding the Fourth Proportional to 511,177.66, 705,465.72 and 281,775.74

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Solution

The fourth proportional to 511,177.66, 705,465.72 and 281,775.74 is: 388,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,177.66 : 705,465.72 = 281,775.74 : x
  2. Step 2: Convert to fraction form
    511,177.66/705,465.72 = 281,775.74/x
  3. Step 3: Cross multiply
    511,177.66x = 705,465.72 × 281,775.74
  4. Step 4: Simplify right side
    511,177.66x = 198,783,121,770.30
  5. Step 5: Solve for x
    x = 198,783,121,770.30/511,177.66
  6. Step 6: Final answer
    x = 388,872.87

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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.