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Finding the Fourth Proportional to 511,093.90, 705,310.61 and 307,147.95

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Solution

The fourth proportional to 511,093.90, 705,310.61 and 307,147.95 is: 423,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,093.90 : 705,310.61 = 307,147.95 : x
  2. Step 2: Convert to fraction form
    511,093.90/705,310.61 = 307,147.95/x
  3. Step 3: Cross multiply
    511,093.90x = 705,310.61 × 307,147.95
  4. Step 4: Simplify right side
    511,093.90x = 216,634,706,439.01
  5. Step 5: Solve for x
    x = 216,634,706,439.01/511,093.90
  6. Step 6: Final answer
    x = 423,864.78

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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.