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Finding the Fourth Proportional to 378,732.89, 522,662.32 and 208,977.95

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Solution

The fourth proportional to 378,732.89, 522,662.32 and 208,977.95 is: 288,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,732.89 : 522,662.32 = 208,977.95 : x
  2. Step 2: Convert to fraction form
    378,732.89/522,662.32 = 208,977.95/x
  3. Step 3: Cross multiply
    378,732.89x = 522,662.32 × 208,977.95
  4. Step 4: Simplify right side
    378,732.89x = 109,224,899,653.40
  5. Step 5: Solve for x
    x = 109,224,899,653.40/378,732.89
  6. Step 6: Final answer
    x = 288,395.60

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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.