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Finding the Fourth Proportional to 378,058.61, 521,720.93 and 208,291.25

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Solution

The fourth proportional to 378,058.61, 521,720.93 and 208,291.25 is: 287,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,058.61 : 521,720.93 = 208,291.25 : x
  2. Step 2: Convert to fraction form
    378,058.61/521,720.93 = 208,291.25/x
  3. Step 3: Cross multiply
    378,058.61x = 521,720.93 × 208,291.25
  4. Step 4: Simplify right side
    378,058.61x = 108,669,904,660.86
  5. Step 5: Solve for x
    x = 108,669,904,660.86/378,058.61
  6. Step 6: Final answer
    x = 287,441.95

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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.