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Finding the Fourth Proportional to 378,292.95, 522,043.65 and 208,527.21

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Solution

The fourth proportional to 378,292.95, 522,043.65 and 208,527.21 is: 287,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,292.95 : 522,043.65 = 208,527.21 : x
  2. Step 2: Convert to fraction form
    378,292.95/522,043.65 = 208,527.21/x
  3. Step 3: Cross multiply
    378,292.95x = 522,043.65 × 208,527.21
  4. Step 4: Simplify right side
    378,292.95x = 108,860,305,832.72
  5. Step 5: Solve for x
    x = 108,860,305,832.72/378,292.95
  6. Step 6: Final answer
    x = 287,767.21

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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.