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Finding the Fourth Proportional to 378,519.83, 522,342.87 and 208,753.95

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Solution

The fourth proportional to 378,519.83, 522,342.87 and 208,753.95 is: 288,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,519.83 : 522,342.87 = 208,753.95 : x
  2. Step 2: Convert to fraction form
    378,519.83/522,342.87 = 208,753.95/x
  3. Step 3: Cross multiply
    378,519.83x = 522,342.87 × 208,753.95
  4. Step 4: Simplify right side
    378,519.83x = 109,041,137,366.84
  5. Step 5: Solve for x
    x = 109,041,137,366.84/378,519.83
  6. Step 6: Final answer
    x = 288,072.46

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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.