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Finding the Fourth Proportional to 309,635.87, 464,342.37 and 107,176.96

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Solution

The fourth proportional to 309,635.87, 464,342.37 and 107,176.96 is: 160,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,635.87 : 464,342.37 = 107,176.96 : x
  2. Step 2: Convert to fraction form
    309,635.87/464,342.37 = 107,176.96/x
  3. Step 3: Cross multiply
    309,635.87x = 464,342.37 × 107,176.96
  4. Step 4: Simplify right side
    309,635.87x = 49,766,803,615.80
  5. Step 5: Solve for x
    x = 49,766,803,615.80/309,635.87
  6. Step 6: Final answer
    x = 160,726.87

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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.