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Finding the Fourth Proportional to 391,408.80, 540,309.44 and 264,256.64

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Solution

The fourth proportional to 391,408.80, 540,309.44 and 264,256.64 is: 364,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,408.80 : 540,309.44 = 264,256.64 : x
  2. Step 2: Convert to fraction form
    391,408.80/540,309.44 = 264,256.64/x
  3. Step 3: Cross multiply
    391,408.80x = 540,309.44 × 264,256.64
  4. Step 4: Simplify right side
    391,408.80x = 142,780,357,174.68
  5. Step 5: Solve for x
    x = 142,780,357,174.68/391,408.80
  6. Step 6: Final answer
    x = 364,785.76

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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.