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Finding the Fourth Proportional to 378,393.54, 522,186.61 and 208,633.70

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Solution

The fourth proportional to 378,393.54, 522,186.61 and 208,633.70 is: 287,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,393.54 : 522,186.61 = 208,633.70 : x
  2. Step 2: Convert to fraction form
    378,393.54/522,186.61 = 208,633.70/x
  3. Step 3: Cross multiply
    378,393.54x = 522,186.61 × 208,633.70
  4. Step 4: Simplify right side
    378,393.54x = 108,945,724,534.76
  5. Step 5: Solve for x
    x = 108,945,724,534.76/378,393.54
  6. Step 6: Final answer
    x = 287,916.45

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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.