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Finding the Fourth Proportional to 378,257.66, 521,989.35 and 208,507.58

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Solution

The fourth proportional to 378,257.66, 521,989.35 and 208,507.58 is: 287,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,257.66 : 521,989.35 = 208,507.58 : x
  2. Step 2: Convert to fraction form
    378,257.66/521,989.35 = 208,507.58/x
  3. Step 3: Cross multiply
    378,257.66x = 521,989.35 × 208,507.58
  4. Step 4: Simplify right side
    378,257.66x = 108,838,736,154.27
  5. Step 5: Solve for x
    x = 108,838,736,154.27/378,257.66
  6. Step 6: Final answer
    x = 287,737.03

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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.