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Finding the Fourth Proportional to 511,428.32, 705,780.36 and 285,049.52

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Solution

The fourth proportional to 511,428.32, 705,780.36 and 285,049.52 is: 393,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,428.32 : 705,780.36 = 285,049.52 : x
  2. Step 2: Convert to fraction form
    511,428.32/705,780.36 = 285,049.52/x
  3. Step 3: Cross multiply
    511,428.32x = 705,780.36 × 285,049.52
  4. Step 4: Simplify right side
    511,428.32x = 201,182,352,843.43
  5. Step 5: Solve for x
    x = 201,182,352,843.43/511,428.32
  6. Step 6: Final answer
    x = 393,373.51

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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.