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Finding the Fourth Proportional to 326,796.64, 490,609.76 and 277,859.68

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Solution

The fourth proportional to 326,796.64, 490,609.76 and 277,859.68 is: 417,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,796.64 : 490,609.76 = 277,859.68 : x
  2. Step 2: Convert to fraction form
    326,796.64/490,609.76 = 277,859.68/x
  3. Step 3: Cross multiply
    326,796.64x = 490,609.76 × 277,859.68
  4. Step 4: Simplify right side
    326,796.64x = 136,320,670,918.48
  5. Step 5: Solve for x
    x = 136,320,670,918.48/326,796.64
  6. Step 6: Final answer
    x = 417,142.20

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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.