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Finding the Fourth Proportional to 378,292.56, 522,002.52 and 208,494

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Solution

The fourth proportional to 378,292.56, 522,002.52 and 208,494 is: 287,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,292.56 : 522,002.52 = 208,494 : x
  2. Step 2: Convert to fraction form
    378,292.56/522,002.52 = 208,494/x
  3. Step 3: Cross multiply
    378,292.56x = 522,002.52 × 208,494
  4. Step 4: Simplify right side
    378,292.56x = 108,834,393,404.88
  5. Step 5: Solve for x
    x = 108,834,393,404.88/378,292.56
  6. Step 6: Final answer
    x = 287,699.01

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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.