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Finding the Fourth Proportional to 320,253.86, 480,326.32 and 106,997.60

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Solution

The fourth proportional to 320,253.86, 480,326.32 and 106,997.60 is: 160,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,253.86 : 480,326.32 = 106,997.60 : x
  2. Step 2: Convert to fraction form
    320,253.86/480,326.32 = 106,997.60/x
  3. Step 3: Cross multiply
    320,253.86x = 480,326.32 × 106,997.60
  4. Step 4: Simplify right side
    320,253.86x = 51,393,763,456.83
  5. Step 5: Solve for x
    x = 51,393,763,456.83/320,253.86
  6. Step 6: Final answer
    x = 160,478.20

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1.5x scale

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.