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Finding the Fourth Proportional to 378,740.50, 522,672.83 and 208,985.56

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Solution

The fourth proportional to 378,740.50, 522,672.83 and 208,985.56 is: 288,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,740.50 : 522,672.83 = 208,985.56 : x
  2. Step 2: Convert to fraction form
    378,740.50/522,672.83 = 208,985.56/x
  3. Step 3: Cross multiply
    378,740.50x = 522,672.83 × 208,985.56
  4. Step 4: Simplify right side
    378,740.50x = 109,231,073,029.41
  5. Step 5: Solve for x
    x = 109,231,073,029.41/378,740.50
  6. Step 6: Final answer
    x = 288,406.11

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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.