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Finding the Fourth Proportional to 258,920.96, 387,883.92 and 158,789.28

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Solution

The fourth proportional to 258,920.96, 387,883.92 and 158,789.28 is: 237,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,920.96 : 387,883.92 = 158,789.28 : x
  2. Step 2: Convert to fraction form
    258,920.96/387,883.92 = 158,789.28/x
  3. Step 3: Cross multiply
    258,920.96x = 387,883.92 × 158,789.28
  4. Step 4: Simplify right side
    258,920.96x = 61,591,808,380.38
  5. Step 5: Solve for x
    x = 61,591,808,380.38/258,920.96
  6. Step 6: Final answer
    x = 237,878.80

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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.