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Finding the Fourth Proportional to 309,670.70, 464,797.65 and 191,572.70

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Solution

The fourth proportional to 309,670.70, 464,797.65 and 191,572.70 is: 287,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,670.70 : 464,797.65 = 191,572.70 : x
  2. Step 2: Convert to fraction form
    309,670.70/464,797.65 = 191,572.70/x
  3. Step 3: Cross multiply
    309,670.70x = 464,797.65 × 191,572.70
  4. Step 4: Simplify right side
    309,670.70x = 89,042,540,764.16
  5. Step 5: Solve for x
    x = 89,042,540,764.16/309,670.70
  6. Step 6: Final answer
    x = 287,539.44

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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.