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Finding the Fourth Proportional to 320,199.76, 480,352.44 and 133,224.40

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Solution

The fourth proportional to 320,199.76, 480,352.44 and 133,224.40 is: 199,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,199.76 : 480,352.44 = 133,224.40 : x
  2. Step 2: Convert to fraction form
    320,199.76/480,352.44 = 133,224.40/x
  3. Step 3: Cross multiply
    320,199.76x = 480,352.44 × 133,224.40
  4. Step 4: Simplify right side
    320,199.76x = 63,994,665,607.54
  5. Step 5: Solve for x
    x = 63,994,665,607.54/320,199.76
  6. Step 6: Final answer
    x = 199,858.57

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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.