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Finding the Fourth Proportional to 378,154.32, 521,850.47 and 208,388.58

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Solution

The fourth proportional to 378,154.32, 521,850.47 and 208,388.58 is: 287,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,154.32 : 521,850.47 = 208,388.58 : x
  2. Step 2: Convert to fraction form
    378,154.32/521,850.47 = 208,388.58/x
  3. Step 3: Cross multiply
    378,154.32x = 521,850.47 × 208,388.58
  4. Step 4: Simplify right side
    378,154.32x = 108,747,678,415.63
  5. Step 5: Solve for x
    x = 108,747,678,415.63/378,154.32
  6. Step 6: Final answer
    x = 287,574.87

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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.