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Finding the Fourth Proportional to 378,632.70, 522,472.68 and 208,866.78

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Solution

The fourth proportional to 378,632.70, 522,472.68 and 208,866.78 is: 288,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,632.70 : 522,472.68 = 208,866.78 : x
  2. Step 2: Convert to fraction form
    378,632.70/522,472.68 = 208,866.78/x
  3. Step 3: Cross multiply
    378,632.70x = 522,472.68 × 208,866.78
  4. Step 4: Simplify right side
    378,632.70x = 109,127,186,309.57
  5. Step 5: Solve for x
    x = 109,127,186,309.57/378,632.70
  6. Step 6: Final answer
    x = 288,213.84

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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.