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Finding the Fourth Proportional to 378,332.80, 522,102.76 and 208,573

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Solution

The fourth proportional to 378,332.80, 522,102.76 and 208,573 is: 287,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,332.80 : 522,102.76 = 208,573 : x
  2. Step 2: Convert to fraction form
    378,332.80/522,102.76 = 208,573/x
  3. Step 3: Cross multiply
    378,332.80x = 522,102.76 × 208,573
  4. Step 4: Simplify right side
    378,332.80x = 108,896,538,961.48
  5. Step 5: Solve for x
    x = 108,896,538,961.48/378,332.80
  6. Step 6: Final answer
    x = 287,832.67

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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.