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Finding the Fourth Proportional to 493,654.40, 739,963.20 and 194,019.20

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Solution

The fourth proportional to 493,654.40, 739,963.20 and 194,019.20 is: 290,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,654.40 : 739,963.20 = 194,019.20 : x
  2. Step 2: Convert to fraction form
    493,654.40/739,963.20 = 194,019.20/x
  3. Step 3: Cross multiply
    493,654.40x = 739,963.20 × 194,019.20
  4. Step 4: Simplify right side
    493,654.40x = 143,567,068,093.44
  5. Step 5: Solve for x
    x = 143,567,068,093.44/493,654.40
  6. Step 6: Final answer
    x = 290,825.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.