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Finding the Fourth Proportional to 378,149.55, 521,821.71 and 208,383.63

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Solution

The fourth proportional to 378,149.55, 521,821.71 and 208,383.63 is: 287,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,149.55 : 521,821.71 = 208,383.63 : x
  2. Step 2: Convert to fraction form
    378,149.55/521,821.71 = 208,383.63/x
  3. Step 3: Cross multiply
    378,149.55x = 521,821.71 × 208,383.63
  4. Step 4: Simplify right side
    378,149.55x = 108,739,102,142.61
  5. Step 5: Solve for x
    x = 108,739,102,142.61/378,149.55
  6. Step 6: Final answer
    x = 287,555.82

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1.5x scale

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.