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Finding the Fourth Proportional to 378,324.78, 522,091.70 and 208,564.98

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Solution

The fourth proportional to 378,324.78, 522,091.70 and 208,564.98 is: 287,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,324.78 : 522,091.70 = 208,564.98 : x
  2. Step 2: Convert to fraction form
    378,324.78/522,091.70 = 208,564.98/x
  3. Step 3: Cross multiply
    378,324.78x = 522,091.70 × 208,564.98
  4. Step 4: Simplify right side
    378,324.78x = 108,890,044,968.67
  5. Step 5: Solve for x
    x = 108,890,044,968.67/378,324.78
  6. Step 6: Final answer
    x = 287,821.60

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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.