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Finding the Fourth Proportional to 320,164.44, 480,255.30 and 83,501.88

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Solution

The fourth proportional to 320,164.44, 480,255.30 and 83,501.88 is: 125,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,164.44 : 480,255.30 = 83,501.88 : x
  2. Step 2: Convert to fraction form
    320,164.44/480,255.30 = 83,501.88/x
  3. Step 3: Cross multiply
    320,164.44x = 480,255.30 × 83,501.88
  4. Step 4: Simplify right side
    320,164.44x = 40,102,220,429.96
  5. Step 5: Solve for x
    x = 40,102,220,429.96/320,164.44
  6. Step 6: Final answer
    x = 125,255.07

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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.