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Finding the Fourth Proportional to 320,277.64, 480,824.70 and 261,228.52

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Solution

The fourth proportional to 320,277.64, 480,824.70 and 261,228.52 is: 392,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,277.64 : 480,824.70 = 261,228.52 : x
  2. Step 2: Convert to fraction form
    320,277.64/480,824.70 = 261,228.52/x
  3. Step 3: Cross multiply
    320,277.64x = 480,824.70 × 261,228.52
  4. Step 4: Simplify right side
    320,277.64x = 125,605,124,760.44
  5. Step 5: Solve for x
    x = 125,605,124,760.44/320,277.64
  6. Step 6: Final answer
    x = 392,175.75

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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.