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Finding the Fourth Proportional to 258,299.48, 387,471.54 and 71,310.98

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Solution

The fourth proportional to 258,299.48, 387,471.54 and 71,310.98 is: 106,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,299.48 : 387,471.54 = 71,310.98 : x
  2. Step 2: Convert to fraction form
    258,299.48/387,471.54 = 71,310.98/x
  3. Step 3: Cross multiply
    258,299.48x = 387,471.54 × 71,310.98
  4. Step 4: Simplify right side
    258,299.48x = 27,630,975,239.51
  5. Step 5: Solve for x
    x = 27,630,975,239.51/258,299.48
  6. Step 6: Final answer
    x = 106,972.63

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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.