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Finding the Fourth Proportional to 482,204.40, 665,431.82 and 278,239.32

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Solution

The fourth proportional to 482,204.40, 665,431.82 and 278,239.32 is: 383,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,204.40 : 665,431.82 = 278,239.32 : x
  2. Step 2: Convert to fraction form
    482,204.40/665,431.82 = 278,239.32/x
  3. Step 3: Cross multiply
    482,204.40x = 665,431.82 × 278,239.32
  4. Step 4: Simplify right side
    482,204.40x = 185,149,297,103.16
  5. Step 5: Solve for x
    x = 185,149,297,103.16/482,204.40
  6. Step 6: Final answer
    x = 383,964.35

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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.