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Finding the Fourth Proportional to 378,404.54, 522,201.80 and 208,644.70

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Solution

The fourth proportional to 378,404.54, 522,201.80 and 208,644.70 is: 287,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,404.54 : 522,201.80 = 208,644.70 : x
  2. Step 2: Convert to fraction form
    378,404.54/522,201.80 = 208,644.70/x
  3. Step 3: Cross multiply
    378,404.54x = 522,201.80 × 208,644.70
  4. Step 4: Simplify right side
    378,404.54x = 108,954,637,900.46
  5. Step 5: Solve for x
    x = 108,954,637,900.46/378,404.54
  6. Step 6: Final answer
    x = 287,931.64

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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.