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Finding the Fourth Proportional to 295,064.29, 407,335.79 and 193,245.78

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Solution

The fourth proportional to 295,064.29, 407,335.79 and 193,245.78 is: 266,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,064.29 : 407,335.79 = 193,245.78 : x
  2. Step 2: Convert to fraction form
    295,064.29/407,335.79 = 193,245.78/x
  3. Step 3: Cross multiply
    295,064.29x = 407,335.79 × 193,245.78
  4. Step 4: Simplify right side
    295,064.29x = 78,715,919,947.19
  5. Step 5: Solve for x
    x = 78,715,919,947.19/295,064.29
  6. Step 6: Final answer
    x = 266,775.48

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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.