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Finding the Fourth Proportional to 519,385.41, 780,448.07 and 279,676.55

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Solution

The fourth proportional to 519,385.41, 780,448.07 and 279,676.55 is: 420,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,385.41 : 780,448.07 = 279,676.55 : x
  2. Step 2: Convert to fraction form
    519,385.41/780,448.07 = 279,676.55/x
  3. Step 3: Cross multiply
    519,385.41x = 780,448.07 × 279,676.55
  4. Step 4: Simplify right side
    519,385.41x = 218,273,018,371.14
  5. Step 5: Solve for x
    x = 218,273,018,371.14/519,385.41
  6. Step 6: Final answer
    x = 420,252.50

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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.