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Finding the Fourth Proportional to 309,641.56, 464,350.88 and 107,182.65

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Solution

The fourth proportional to 309,641.56, 464,350.88 and 107,182.65 is: 160,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,641.56 : 464,350.88 = 107,182.65 : x
  2. Step 2: Convert to fraction form
    309,641.56/464,350.88 = 107,182.65/x
  3. Step 3: Cross multiply
    309,641.56x = 464,350.88 × 107,182.65
  4. Step 4: Simplify right side
    309,641.56x = 49,770,359,857.50
  5. Step 5: Solve for x
    x = 49,770,359,857.50/309,641.56
  6. Step 6: Final answer
    x = 160,735.40

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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.