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Finding the Fourth Proportional to 258,393.90, 387,646.74 and 78,464.54

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Solution

The fourth proportional to 258,393.90, 387,646.74 and 78,464.54 is: 117,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,393.90 : 387,646.74 = 78,464.54 : x
  2. Step 2: Convert to fraction form
    258,393.90/387,646.74 = 78,464.54/x
  3. Step 3: Cross multiply
    258,393.90x = 387,646.74 × 78,464.54
  4. Step 4: Simplify right side
    258,393.90x = 30,416,523,136.60
  5. Step 5: Solve for x
    x = 30,416,523,136.60/258,393.90
  6. Step 6: Final answer
    x = 117,713.78

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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.