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Finding the Fourth Proportional to 258,353.28, 387,537.28 and 71,364.80

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Solution

The fourth proportional to 258,353.28, 387,537.28 and 71,364.80 is: 107,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,353.28 : 387,537.28 = 71,364.80 : x
  2. Step 2: Convert to fraction form
    258,353.28/387,537.28 = 71,364.80/x
  3. Step 3: Cross multiply
    258,353.28x = 387,537.28 × 71,364.80
  4. Step 4: Simplify right side
    258,353.28x = 27,656,520,479.74
  5. Step 5: Solve for x
    x = 27,656,520,479.74/258,353.28
  6. Step 6: Final answer
    x = 107,049.23

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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.