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Finding the Fourth Proportional to 378,199.84, 521,915.80 and 208,434

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Solution

The fourth proportional to 378,199.84, 521,915.80 and 208,434 is: 287,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,199.84 : 521,915.80 = 208,434 : x
  2. Step 2: Convert to fraction form
    378,199.84/521,915.80 = 208,434/x
  3. Step 3: Cross multiply
    378,199.84x = 521,915.80 × 208,434
  4. Step 4: Simplify right side
    378,199.84x = 108,784,997,857.20
  5. Step 5: Solve for x
    x = 108,784,997,857.20/378,199.84
  6. Step 6: Final answer
    x = 287,638.93

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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.