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Finding the Fourth Proportional to 482,123.09, 665,335.88 and 278,216.33

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Solution

The fourth proportional to 482,123.09, 665,335.88 and 278,216.33 is: 383,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,123.09 : 665,335.88 = 278,216.33 : x
  2. Step 2: Convert to fraction form
    482,123.09/665,335.88 = 278,216.33/x
  3. Step 3: Cross multiply
    482,123.09x = 665,335.88 × 278,216.33
  4. Step 4: Simplify right side
    482,123.09x = 185,107,302,033.16
  5. Step 5: Solve for x
    x = 185,107,302,033.16/482,123.09
  6. Step 6: Final answer
    x = 383,942.00

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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.