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Finding the Fourth Proportional to 258,658.26, 387,982.88 and 116,402.87

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Solution

The fourth proportional to 258,658.26, 387,982.88 and 116,402.87 is: 174,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,658.26 : 387,982.88 = 116,402.87 : x
  2. Step 2: Convert to fraction form
    258,658.26/387,982.88 = 116,402.87/x
  3. Step 3: Cross multiply
    258,658.26x = 387,982.88 × 116,402.87
  4. Step 4: Simplify right side
    258,658.26x = 45,162,321,615.79
  5. Step 5: Solve for x
    x = 45,162,321,615.79/258,658.26
  6. Step 6: Final answer
    x = 174,602.28

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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.