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Finding the Fourth Proportional to 258,326.34, 387,496.82 and 71,337.84

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Solution

The fourth proportional to 258,326.34, 387,496.82 and 71,337.84 is: 107,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,326.34 : 387,496.82 = 71,337.84 : x
  2. Step 2: Convert to fraction form
    258,326.34/387,496.82 = 71,337.84/x
  3. Step 3: Cross multiply
    258,326.34x = 387,496.82 × 71,337.84
  4. Step 4: Simplify right side
    258,326.34x = 27,643,185,788.98
  5. Step 5: Solve for x
    x = 27,643,185,788.98/258,326.34
  6. Step 6: Final answer
    x = 107,008.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.