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Finding the Fourth Proportional to 378,050.96, 521,711.64 and 208,284.68

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Solution

The fourth proportional to 378,050.96, 521,711.64 and 208,284.68 is: 287,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,050.96 : 521,711.64 = 208,284.68 : x
  2. Step 2: Convert to fraction form
    378,050.96/521,711.64 = 208,284.68/x
  3. Step 3: Cross multiply
    378,050.96x = 521,711.64 × 208,284.68
  4. Step 4: Simplify right side
    378,050.96x = 108,664,541,989.68
  5. Step 5: Solve for x
    x = 108,664,541,989.68/378,050.96
  6. Step 6: Final answer
    x = 287,433.58

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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.