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Finding the Fourth Proportional to 378,302.64, 522,061.28 and 208,542.88

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Solution

The fourth proportional to 378,302.64, 522,061.28 and 208,542.88 is: 287,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,302.64 : 522,061.28 = 208,542.88 : x
  2. Step 2: Convert to fraction form
    378,302.64/522,061.28 = 208,542.88/x
  3. Step 3: Cross multiply
    378,302.64x = 522,061.28 × 208,542.88
  4. Step 4: Simplify right side
    378,302.64x = 108,872,162,867.69
  5. Step 5: Solve for x
    x = 108,872,162,867.69/378,302.64
  6. Step 6: Final answer
    x = 287,791.18

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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.