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Finding the Fourth Proportional to 414,656.89, 572,403.08 and 278,769.64

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Solution

The fourth proportional to 414,656.89, 572,403.08 and 278,769.64 is: 384,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,656.89 : 572,403.08 = 278,769.64 : x
  2. Step 2: Convert to fraction form
    414,656.89/572,403.08 = 278,769.64/x
  3. Step 3: Cross multiply
    414,656.89x = 572,403.08 × 278,769.64
  4. Step 4: Simplify right side
    414,656.89x = 159,568,600,546.49
  5. Step 5: Solve for x
    x = 159,568,600,546.49/414,656.89
  6. Step 6: Final answer
    x = 384,820.81

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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.