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Finding the Fourth Proportional to 378,258.66, 521,990.73 and 208,508.58

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Solution

The fourth proportional to 378,258.66, 521,990.73 and 208,508.58 is: 287,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,258.66 : 521,990.73 = 208,508.58 : x
  2. Step 2: Convert to fraction form
    378,258.66/521,990.73 = 208,508.58/x
  3. Step 3: Cross multiply
    378,258.66x = 521,990.73 × 208,508.58
  4. Step 4: Simplify right side
    378,258.66x = 108,839,545,885.46
  5. Step 5: Solve for x
    x = 108,839,545,885.46/378,258.66
  6. Step 6: Final answer
    x = 287,738.41

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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.