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Finding the Fourth Proportional to 320,210.35, 480,325.25 and 109,845.25

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Solution

The fourth proportional to 320,210.35, 480,325.25 and 109,845.25 is: 164,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,210.35 : 480,325.25 = 109,845.25 : x
  2. Step 2: Convert to fraction form
    320,210.35/480,325.25 = 109,845.25/x
  3. Step 3: Cross multiply
    320,210.35x = 480,325.25 × 109,845.25
  4. Step 4: Simplify right side
    320,210.35x = 52,761,447,167.56
  5. Step 5: Solve for x
    x = 52,761,447,167.56/320,210.35
  6. Step 6: Final answer
    x = 164,771.21

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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.