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Finding the Fourth Proportional to 378,327.78, 522,095.84 and 208,567.98

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Solution

The fourth proportional to 378,327.78, 522,095.84 and 208,567.98 is: 287,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,327.78 : 522,095.84 = 208,567.98 : x
  2. Step 2: Convert to fraction form
    378,327.78/522,095.84 = 208,567.98/x
  3. Step 3: Cross multiply
    378,327.78x = 522,095.84 × 208,567.98
  4. Step 4: Simplify right side
    378,327.78x = 108,892,474,715.20
  5. Step 5: Solve for x
    x = 108,892,474,715.20/378,327.78
  6. Step 6: Final answer
    x = 287,825.74

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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.