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Finding the Fourth Proportional to 482,256.96, 665,406.88 and 288,634.56

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Solution

The fourth proportional to 482,256.96, 665,406.88 and 288,634.56 is: 398,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,256.96 : 665,406.88 = 288,634.56 : x
  2. Step 2: Convert to fraction form
    482,256.96/665,406.88 = 288,634.56/x
  3. Step 3: Cross multiply
    482,256.96x = 665,406.88 × 288,634.56
  4. Step 4: Simplify right side
    482,256.96x = 192,059,422,029.77
  5. Step 5: Solve for x
    x = 192,059,422,029.77/482,256.96
  6. Step 6: Final answer
    x = 398,251.22

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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.