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Finding the Fourth Proportional to 253,523.86, 379,739.10 and 238,618.64

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Solution

The fourth proportional to 253,523.86, 379,739.10 and 238,618.64 is: 357,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,523.86 : 379,739.10 = 238,618.64 : x
  2. Step 2: Convert to fraction form
    253,523.86/379,739.10 = 238,618.64/x
  3. Step 3: Cross multiply
    253,523.86x = 379,739.10 × 238,618.64
  4. Step 4: Simplify right side
    253,523.86x = 90,612,829,440.99
  5. Step 5: Solve for x
    x = 90,612,829,440.99/253,523.86
  6. Step 6: Final answer
    x = 357,413.42

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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.