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Finding the Fourth Proportional to 258,253.98, 387,403.30 and 71,265.48

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Solution

The fourth proportional to 258,253.98, 387,403.30 and 71,265.48 is: 106,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,253.98 : 387,403.30 = 71,265.48 : x
  2. Step 2: Convert to fraction form
    258,253.98/387,403.30 = 71,265.48/x
  3. Step 3: Cross multiply
    258,253.98x = 387,403.30 × 71,265.48
  4. Step 4: Simplify right side
    258,253.98x = 27,608,482,128.08
  5. Step 5: Solve for x
    x = 27,608,482,128.08/258,253.98
  6. Step 6: Final answer
    x = 106,904.38

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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.