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Finding the Fourth Proportional to 378,132.97, 521,848.80 and 208,367.11

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Solution

The fourth proportional to 378,132.97, 521,848.80 and 208,367.11 is: 287,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,132.97 : 521,848.80 = 208,367.11 : x
  2. Step 2: Convert to fraction form
    378,132.97/521,848.80 = 208,367.11/x
  3. Step 3: Cross multiply
    378,132.97x = 521,848.80 × 208,367.11
  4. Step 4: Simplify right side
    378,132.97x = 108,736,126,312.97
  5. Step 5: Solve for x
    x = 108,736,126,312.97/378,132.97
  6. Step 6: Final answer
    x = 287,560.55

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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.